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

Answer:

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

Step-by-step 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

$\frac{1}{2} * 84*92 \\= 3964$

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