Question

Tom placed a pool in his backyard , which is enclosed by a triangular fence . 72 ft. 84 ft The radius of the pool is 17.5 feet . How much of the backyard area is not covered by the pool ??

Answer 1

`A=2,062.375\ ft^2`

Explanation:

The picture of the question in the attached figure

we know that

The area not covered by the pool is equal to the area of the triangular backyard minus the area of the circular pool

so

`A=(1)/(2)(b)(h) -\pi r^(2)`

where

`b=84\ ft\\h=72\ ft\\r=17.5\ ft\\\pi=3.14`

substitute

`A=(1)/(2)(84)(72) -(3.14)(17.5)^(2)`

`A=3,024-961.625\\A=2,062.375\ ft^2`