Question

A rectangle that is x feet wide is inscribed in a circle of radius 10 feet. How do you find the expression for the area of the rectangle as a function of x?

Answer 1

Please see the explanation.

Explanation:

The diagonal of the rectangle is the diameter of the circle (which is twice the radius).

Using the Pythagorean Theorem :

`20^2 = x^2 + x^2`

`400 = 2x^2`

`x^2 = 200`

`x = 10sqrt(2)`