# How do you find the dimensions of the rectangle with largest area that can be inscribed in a semicircle of radius #r# ?

##### 1 Answer

Aug 12, 2018

The dimensions of the rectangle is

#### Explanation:

The equation of the semicircle is

The area of the rectangle is

From equation

Plugging this value in equation

Differentiating wrt

The critical points are when

That is

Then,

The maximum area is