FREE Trial

Show that the length d of a chord of a circle of radius r is given by

Question:

Show that the length d of a chord of a circle of radius r is given by the formula

d = 2r sin


where θ is the central angle formed by the radii to the ends of the chord. See the figure. Use this result to derive the fact that sin θ < θ, where u θ > 0 is measured in radians.

Show that the length d of a chord of a

Transcribed Image Text:

d = 2r sin

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

Step by Step Answer:

Answer rating: 77% (9 reviews)

Use the Law of Cosines to find the length of side d If s r is ...View the full answer


answer-question-section
Answered By
tutor-profile-image
Loise Ndungu
I have five years of experience as a writer. As I embark on writing your papers from the prologue to the epilogue, my enthusiasm is driven by the importance of producing a quality product. I put premium product delivery as my top priority, as this is what my clients are seeking and what makes me different from other writers. My goal is to craft a masterpiece each time I embark on a freelance work task! I'm a freelance writer who provides his customers with outstanding and remarkable custom writings on various subjects. Let's work together for perfect grades.
4.90+ 82+ Reviews 236+ Question Solved
Related Book For  book-img-for-question
Precalculus

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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

Practically Project Management A Resource For Everyday Project Managers 1st Edition - ISBN: B0CDNM8N8G - Free Book