FREE Trial

Find the area of the largest isosceles triangle that can be inscribed in a circle of radius

Question:

Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 6 (see figure).

(a) Solve by writing the area as a function of h.

(b) Solve by writing the area as a function of a.

(c) Identify the type of triangle of maximum area.

Transcribed Image Text:

α 6 6

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

Step by Step Answer:

Answer rating: 60% (10 reviews)

a b c Equilateral triangle A dA dh dA dh base x height 12 12 ...View the full answer


answer-question-section
Answered By
tutor-profile-image
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students. Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs. Responsible for Creating, Editing, Updating all contents related Chemical Engineering in latex language
4.40+ 8+ Reviews 22+ Question Solved
Related Book For  book-img-for-question
Calculus

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books
Question Posted:
See More Questions

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

Seo Guide 2022 100 Tips To Optimize Your Website For The Future 1st Edition - ISBN: 979-8361372409 - Free Book