FREE Trial

a. Show that the area A n of an n-sided regular polygon in a circle of radius

Question:

a. Show that the area An of an n-sided regular polygon in a circle of radius r isimage


b. Find the limit of An as n→∞. Is this answer consistent with what you know about the area of a circle?

Transcribed Image Text:

A || nr² - sin 2 27 n

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Answer rating: 80% (10 reviews)

ANSWER a To derive the formula for the area An of an nsided regular polygon inscribed in a circle of ...View the full answer


answer-question-section
Answered By
tutor-profile-image
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school. I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies. I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00 0 Reviews 10+ Question Solved
Related Book For  book-img-for-question
Thomas Calculus Early Transcendentals

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books
Question Posted:

Related Video

The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.

Students also viewed these Mathematics questions

The Agency Build Grow Repeat How To Build A Remarkable Digital Agency Business That Wins And Keeps Clients 1st Edition - ISBN: 1916015107 - Free Book