12 Sided Polygon

12 Sided Polygon A geometric shape which is enclosed by 12 lines is known as 12 sided polygon, it is also known asdodecagon. The area of a regular polygon: The area of a regular polygon of n sides = (na^2/4) cot( /n) (1) Where a is the length of a side of the polygon. In particular, if a be the length of a side of a regular hexagonthen it means n= 6, now we can substitute n= 6 in equation (1) =(6a^2 / 4) cot ( / 6) =(33 / 2) a^2 Example: - What is the area of dodecagon. Solution: - Since 12 sided polygon is known as dodecagon. Therefor n = 12 The area of a regular polygon of n sides= (na^2/4) cot( /n) = (12 a^2 / 4) cot ( / 12). Now we need to find the value of cot ( / 12). Suppose a/2 = / 12 a = 2( /12) = /6 Since cot (a/2) = (1 + cos a) / sin a Therefore, cot ( /12) = [1 + cos ( /6)]/ sin ( / 6) = (1 + 3/2) / (1/2) = (2 + 3) Therefore Area of a dodecagon = 3(2 + 3) a^2 Example 2: - If each sides of dodecagon are 5 cm then find the area of dodecagon. Solution: - According to the problem a= 5 then Area of dodecagon = 3 (2 + 3) a^2 = 3 (2 + 3) 5^2 = 75 (2 + 3)

4 Famous Actors To Follow

4 Famous Actors To Follow Discover Four Famous British Actors Out There ChaptersDame Judi DenchSir Anthony HopkinsCharm and Grace: British Actress Kate WinsletGary Oldman: British Actor and ChameleonWith good actors being true chameleons when it comes to accents, it’s sometimes difficult to keep up with which Hollywood actors are American - and which originally came from the UK. Did you know that Kate Winslet comes from Reading? That Anthony Hopkins is Welsh? Find out more about these talented British actors and actresses here. both of Judi Dench’s parents were indirectly involved in the theatre.Her first acting jobs were in productions of Shakespeare, first at the Old Vic, then as a member of the Royal Shakespeare Company.Her first film roles were Miss Humphries in The Third Secret (1964) and Sally Young in A Study in Terror where Sherlock Holmes attempts to solve the Jack the Ripper murders.In the 1970s she acted in several BBC dramas, while continuing with the Royal Shakespeare Company and even doing a few musicals - Cabaret in 1968, and much late r Sondheim’s A Little Night Music in 1995.Her big breakthrough in film came from the 1997 BBC teleplay Mrs. Brown, which was bought up by Miramax and distributed internationally. Starring Judi Dench as Queen Victoria and Billy Connolly as her manservant John Brown, Mrs. Brown shows off Dench’s poise and dry wit admirably.MHowever, although Mrs. Brown may have convinced Hollywood of Dench’s acting talent and range, it was the James Bond franchise that made her a favourite with the viewers. In the 1995 reboot starring Pierce Brosnan, the role of MI6 head “M” was given to a woman - Dench.She has played M in every James Bond movie since until her character was killed off in Skyfall (though she has a flashback cameo in Spectre).Shakespeare in LoveThe 1998 historical comedy Shakespeare in Love includes Joseph Fiennes as Shakespeare, Gwyneth Paltrow as love interest Viola, Geoffrey Rush as Philip Henslowe, Colin Firth as Lord Wessex and, for all of eight minutes, Judi Dench as Qu een Elizabeth I. This short performance was so intense, however, that it earned her an Academy Award for Best Supporting Actress.The 2000s and 2010sIn the 2000s she has starred in a variety of classical adaptations and dramas, including Iris (2001), Ladies in Lavender (2004) and Notes on a Scandal (2006).Her most recent hits are comedies The Best Exotic Marigold Hotel and its sequel, a fun romp about a group of retirees living in a hotel (2011 and 2015). She has also recently starred in a BBC One screenplay of Esio Trot, a children’s book by Roald Dahl, and as the Duchess of York in the historical series The Hollow Crown.Read more about Judi Dench.Sir Anthony HopkinsSir Anthony Hopkins is best known for his role as Dr. Hannibal Lecter. Photo credit: Deutsche Bank on Visual huntAnthony Hopkins was born in Port Talbot, Wales and entered the Royal Welsh College of Music and Drama in Cardiff at the age of 16. After doing his military service he continued to study acting at the Royal A cademy of Dramatic Art.His first job was at the Palace Theatre in Swansea where he stayed for five years until Laurence Olivier invited him to become his understudy in the Royal National Theatre.His film breakthrough was as Richard I the Lionheart in the 1968 movie The Lion in Winter. In The Elephant Man (1980), he played opposite John Hurt as Doctor Treves.Doctor Hannibal LecterHopkin’s most iconic role was as a genius profiler and serial killer Hannibal Lecter in the 1991 thriller Silence of the Lambs, starring Jodie Foster as trainee FBI agent Clarice Starling who must convince Lecter, incarcerated in a mental institution, to help her catch another serial killer.Hopkins reprised his role in the sequel, Hannibal (2001), and the prequel, Red Dragon (2002).Recent FilmsMore recent films with Sir Anthony Hopkins include an older Zorro in The Mask of Zorro (1998) and co-starring beside Brad Pitt in the drama Meet Joe Black, as well as a role as an exorcist priest in The Rite (2011).H e also starred as the god Odin, lord of Valahalla, in the Marvel comic films Thor (2011), The Dark World (2013) and Ragnarok (2017).He is currently one of the stars of HBO series Westworld.Get started with acting classes today with an acting coach.Charm and Grace: British Actress Kate WinsletKAte Winslet has starred in many dramas and indie productions.Photo credit: xenonanon on VisualHuntBorn in Reading, Berkshire, Kate Winslet had acting in her blood: two grandparents and both sisters became actors. She studied acting at the Redroofs Theatre School in Maidenhead, which helped her get roles on stage and in advertising.Her first on-screen role was as Reet in BBC One’s Dark Season in 1991.Her breakthrough film was Heavenly Creatures in 1994, where she played a teenager who helped her friend commit murder.Oddly enough, her intense performance in Heavenly Creatures almost cost her the part of Marianne in Emma Thompson’s Sense and Sensibility, but she was able to convince director A ng Lee in a single reading.Before her most famous and iconic role, Winslet played in two more period dramas, Jude and Kenneth Branagh’s Hamlet, both of which came out in 1996. In Hamlet she played the difficult role of Ophelia to good reviews.TitanicOnce more, Kate Winslet fought for a role: that of Rose, a rich girl caught in the constraints of early 20th-century upper-class society, who meets a poor young artist Jack Dawson (Leonardo DiCaprio) on board the cruise ship Titanic. Caught in a whirlwind romance, she refuses her place on a lifeboat to stay with Jack. Though she manages to survive, Jack does not; but she dedicates her life to him, learning to fly a plane and seeing the world.Indie Films and DramaAfter the pressure of stardom in Titanic, which was the highest-grossing film of all time when it came out, Winslet turned to smaller indie productions, refusing offers for roles in more mainstream films. She came back to slightly more established roles in the thriller Enigma i n 2001 and playing a young novelist Iris Murdoch in Iris, sharing the role with Judi Dench.Eternal Sunshine of the Spotless Mind, widely hailed as one of the best movies of the 21st century, starred Winslet as a woman who erased all memories of her ex-boyfriend before meeting him again a few years later.Among her more recent films, the most controversial thus far has been The Reader in 2009, in which Winslet plays an illiterate concentration camp guard who has a younger Jewish boy come in to read to her - and falls in love with him.After a hiatus to focus on her children, she came back to star in the HBO mini-series Mildred Pierce as a Depression-era single mother.In 2015 she played Apple’s marketing chief Joanna Hoffman opposite Michael Fassbender as Steve Jobs.One of her most recent releases is The Mountain Between Us in 2017, about a group of people stranded in the mountains after a plane crash.Gary Oldman: British Actor and ChameleonGary Oldman has played many villains, includ ing Count Dracula and Lee Hrvey Oswald. Photo credit: JiBs. on Visualhunt.comBorn in London in 1958, Gary Oldman studied at the Young People’s Theatre in Greenwich and graduated the Rose Bruford College in 1979.He worked for some years at the Citizen’s Theatre in Glasgow; his first film role was in the 1982 multiple-plotline Navy film Remembrance. He then went on to play a skinhead in Meantime, but it was his acting in a revival of Edward Bond’s play Saved that truly kickstarted his career.His performance earned him a place at the Royal Court Theatre and the Royal Shakespeare Company. After seeing him in The Pope’s Wedding at the Royal Court, Alex Cox offered him a starring role in his film Sid and Nancy about the lead singer of the Sex Pistols punk rock band.His first Hollywood film was State of Grace in 1990; in 1991 he took on the role of Lee Harvey Oswald in Oliver Stone’s JFK, which opened the doors for a series of roles as villains:Dracula in Bram Stoker’s Dracula, directed by Francis Ford CoppolaA sadistic pimp in True Romance 1993Bent DEA officer Norman Stansfield in Léon the Professional in 1994A cruel prison warden in Murder in the First 1995Tyrannical corporate magnate Zorg in The Fifth Element 1997A Russian  terrorist in Air Force One 1997Dr. Zachary Smith in Lost in Space 1998Mason Verger in Hannibal, (opposite Anthony Hopkins) 2001A Man of Two FranchisesWhen the Harry Potter book series was filmed, Gary Oldman was cast as young Harry’s godfather Sirius Black, on the lam from wizard prison in the third instalment, The Prisoner of Azkaban, and subsequent films.After a slight hiatus, Christopher Nolan revived the character of Batman on the big screen in 2005 with his trilogy starring Christian Bale as the Dark Knight, Michael Caine as his loyal butler Alfred and Gary Oldman as the superhero’s liaison with the Law, Police Commissioner Gordon.In subsequent years, Oldman’s best-known films include The Book of Eli, a post-apocalyptic film co-starring Denzel Washington (2010), John Le Carré adaptation Tinker Tailor Soldier Spy (in the role of George Smiley) in 2011 and 2017 biopic Darkest Hour, for which he won an Academy Award, Golden Globe and BAFTA for his depiction of Winston Churchill.Want to learn how to act with the best? Why not try out our Superprof acting tutors?Find drama classes near me with Superprof.

Need More Reasons to Learn English Listening Exercise

Need More Reasons to Learn English Listening Exercise If youre learning English, you probably have a couple good reasons. You probably need it for work, or to get a new job, or to get into a university. Or, you anticipate needing it for one of these reasons in the future.Chances are, youre not just doing it for fun (although thats not a bad reason to learn a language).According to the TED video we used for this weeks English listening exercise, learning a  new language is really good for your brain in general, beyond the ability to speak another language. This video is also interesting because it talks about the different effects learning a language has depending on when you learn it in your life.Answer the questions below and well answer them in comments.1. What are the two active and two passive parts of using a language?2. What type of bilingual are you (or will you be)? Does this affect your ability to become proficient in the language?3. What are the differences between child language learners and adult language learners?4. What a re some of the benefits of being multilingual?5. What did people think about being multilingual in the past?6. Its never too late to ___ ____ _ _____, and ____ the linguistic ____ from hello to hola.

Why I Love Tutoring Piano- Dorians Story

Why I Love Tutoring Piano- Dorian's Story After seeing a rise in students looking for piano and music tuition, we spoke to Dorian, one of our top piano tutors about his experience teaching and why learning an instrument can be an excellent asset! Dorian's Experience In my 15 years of teaching, I have found the sheer essence of witnessing the progress and success of my students to be the most rewarding experience. Music is core to my being and my passion for playing music began early. My mother was a world-class pianist; she was performing recitals whilst pregnant with me and became my first teacher for a number of years subsequent. My pupils have varied from many different backgrounds and ages: some children, some adults, and on a few occasions I tutored both parents and their children.   Repertoire and Exams   I have tutored ABRSM exam preparation for the last 15 years. I often work with students on developing natural, relaxed posture and hand positions. I also strive to motivate and encourage the student to deliver the best to their ability.   For long term results and achievement of the desired outcome, be it an ABRSM exam or just playing for personal pleasure, I think that every student must first and foremost feel a genuine desire and enthusiasm for learning and possess an understanding of the effort required. I often suggest that students should expand their repertoire by simply listening to more classical or contemporary music as well as popular songs if they prefer. I always motivate students to choose whatever they want to learn and play, as the feeling of joy and satisfaction of learning a song you like is essential to overall development. If you'd like Dorian to help you with your piano or performance skills then he'd love to hear from you - click here to send him a message.

Tutoring a candidate to resit GCSE and A-level exams

Tutoring a candidate to resit GCSE and A-level exams The news that a resit is necessary is not something any pupil or tutor likes to hear and the preparation for the second attempt can be as much psychological as academic. If one of your pupils has to resit GCSEs or A-levels this winter, how can you help them achieve their full potential? A student's confidence can be knocked by the need to resit exams, so it is important that you work with them to understand it as a second opportunity to show off their full potential. Maybe there were extenuating circumstances last time, or maybe they were simply under-prepared - either way the resit is a brand new situation, and the previous experience can only help to improve the pupil's chances of reaching their highest possible grade the next time. If it is possible to get hold of the previous paper, this is obviously a great asset. However, in most cases this will be very difficult, so your starting place should be a frank discussion with the student about their previous exam experience. What do they think they did well on? Where did they struggle? Try to ascertain if their problems stem from academic weak points, or a problem with exam technique, as this will tell you where your focus is to lie. This conversation will form the basis of your tutoring plan up until the exam. Allow time to revise all key areas of the curriculum, but do allocate extra time for those areas of particular weakness. Throughout the study period your key task, beyond providing academic preparation, will be to motivate and inspire your student as they prepare to retake their GCSEs or A-levels.

Learn to Code

Learn to Code Source: http://en.paperblog.com/ Now the only real way to learn to code is by coding, I mean turn on that computer of yours, open up a terminal or an IDE (Integrated Development Environment) if you would prefer and get your hands dirty. Like most things. the more you practice the better you get. Here are few websites to help you get started - Codeacademy you can learn to code JavaScript, HTML and CSS, PHP, jQuery, Python and Ruby interactively for free. Udacity learn to code by working on real projects. You can find courses that span from Intro to CS to CUDA Parallel Programming and AI. Coursera offers variety of programming and other courses from the top universities and organization worldwide. Scratch 2.0 uses a visual programming method helps young people to learn to think creatively, reason systematically, and work collaboratively. Code.org is a great place to introduce coding to kids. It provides a drag and drop program that uses Angry Birds, Plants vs Zombies to teach some of the basic steps in coding. There are also dozens of other such websites like Code School, Udemy, w3schools, KhanAcademy, Bento, Code Avengers that can help you get started. Feel free to experiment before finding your ideal choice.  Once you have got some of the fundamentals down, you can also join Topcoder, Codechef, Google Code Jam, HackerRank, Kaggle and other such websites that will not only help you polish your skills but also pit you against others in the world. As computers become more ubiquitous, you will find more platforms to experiment with your coding and build novel applications. You never know how your code can change the world! So get coding! Source: techcrunch.com

4 Tips For Surviving Group Projects (and why you have to)

4 Tips For Surviving Group Projects (and why you have to) Surviving Group Projects (and why you have to) Surviving Group Projects (and why you have to) Group projects in middle and high school have been a reality for students for generations. Theyre one of the most dreaded assignments students will get. Most will notice they are not assigned to work with their friends and that there is always that one person in the group who simply doesnt participate. More often than not a small portion of the group ends up doing the vast majority of the work and, sometimes, one person ends up doing all the work themselves. C students get As without doing anything, and A students get a C despite their very best efforts. Group projects can seem terribly unfair, and in some cases they are, but they do serve a higher purpose: to learn how to collaborate. There are several ways students can survive and even thrive their group projects and there are many reasons why they have to. 1 Mimicking the Workplace In many ways, group projects mimic life in a work environment. Although some people end up working for themselves, the majority of people will have to collaborate at some point during their career. Group projects, even at a young age, help students understand what it will be like to work in a corporate environment. As most adults will agree, there is always that one person who shows up late or doesnt pull their weight. It’s easy to think that these colleagues won’t be in the workplace much longer, but that often isnt true. When students learn to cope with a student colleague who doesnt participate they are also learning how to work with future work colleagues (READ: Tips from an Irvine AP Tutor: What to do if AP Exams Were a Bust). 2 Preparing for College College group projects will be much harder and more complicated than middle and high school projects in some respects. However, in many ways they are similar. Students need to learn to work as a team and identify strengths and weaknesses. If one member of the group is an excellent writer perhaps they should complete the draft/editing. If another member is an excellent researcher but terribly unorganized, they can conduct the initial research and have a third member keep everybody on task. When students work in groups they learn how to determine what they are good at and what theyre not. This helps not only improve their own skills but helps their peers improve upon each other. 3 Healthy Socialization Many students, teachers, and parents feel there simply isnt enough appropriate socialization in school these days. There are more instructional minutes and less time to learn how to be social. Group projects, believe it or not, help students learn how to develop healthy socialization skills. Its easy enough for students to get along with their friends, but they should also know how to get along with students who are a little bit different from them. In addition to learning tolerance and polite behavior, students can make new friends when they are required to work in a group. Students who trudge through the project and complain about their partners are demonstrating they, themselves, still need to work on social skills. This is a great thing to learn in middle or high school rather than finding out as an adult that they dont know how to collaborate with various types of people. Students who know how to socialize appropriately will have a much easier time in college and in life (READ: 5 Tips to Encourage Your Child to Read). 4 Surviving When Everything Goes Wrong Sometimes, despite very best efforts, the group project goes terribly wrong. In some instances, one or two members of the group simply don’t show up for study sessions or refuse to work at all. In this case a couple, or even one solo student, will be left to complete the entire project; a job meant for several. In this case, students probably wont learn much about life other than that group projects can be annoying. However, they can use some tips to survive it and still get a decent grade. Speak with a teacher or tutor about how to organize different parts of the project. Break the project up into pieces and find a part that the resistant members of the group can do. Get together with the willing members of the group and determine different skills amongst the group. Take a deep breath and remember group projects dont come along that often. If the reality comes down to one student completing the entire project, they should schedule in enough time to finish so that this one assignment doesnt ruin their GPA. All blog entries, with the exception of guest bloggers, are written by Tutor Nerds. Are you an education professional? If so, email us at pr@tutornerds.com for guest blogging and collaborations. We want to make this the best free education resource in SoCal, so feel free to suggest what you would like to see us write.