Question

A rectangle is inscribed in a semicircle of radius 4 with the base of the rectangle

along the diameter of the semicircle. Express the area of the rectangle in terms of its
height.

Answer 1

Explanation:

let the base of rectangle=2a

join the center of circle to one corner of rectangle.

then

`a=√(4^2-h^2) =√(16-h^2) \\base=2a=2√(16-h^2) \\area=2a * h=2h√(16-h^2)`