Question

Your friend orders a new cover for his round swimming pool. The area of the pool cover is 200.96 square feet. What are the radius and diameter of the pool cover? What is the circumference of the pool cover?

Answer 1

Radius = 8 ft

Diameter = 16 ft

Circumference = 50.24 ft

Explanation:

First, use the following area formula to get radius (r) value:

`a = \pi {r}^(2)`

200.96 ft^2 = 3.14 × r^2

r^2 = 64

r = 8 ft

diameter = 2×r = 2×8 ft = 16 ft

Second, use the following circumference formula:

`circumference = 2\pi \: r`

Circumference = 2 × 3.14 × 8 ft

Circumference = 50.24 ft

Please refer to the attached picture for clear explanation. Thanks!