Question

Mark placed a pool in his backyard which is closed by a triangular fence. the radius of the pool is 20.5 feet how much of the backyard area is not covered by the pool

Answer 1

The area of the backyard which is not covered by the pool= 2644.415 square feet

Explanation:

The image for the question is attached herewith

Solution

Radius of the pool = 20.5 feet

Area of the pool

`= \pi r^2\\= 3.14 *20.5^2\\= 1319.585`square feet

Total area with in the triangular fencing

`(1)/(2) * 84*92 \\= 3964`

The area of the backyard which is not covered by the pool= The area of the triangular fence - the area of the pool

`= 3964 - 1319.585 \\= 2644.415`Square feet