Question

The area of a circular pool cover is 314 square feet. Write and solve an equation to find the diameter of the pool cover. Use 3.14 for pi.

Answer 1

The area of a circle is calculated using the formula A = πr^2, where A is the area, π is approximately 3.14, and r is the radius.

Since the pool cover is circular, the area of the pool cover is given as 314 square feet. Substituting this into the formula, we get:

314 = 3.14 * r^2

Dividing both sides by 3.14 to isolate r^2, we have:

r^2 = 314 / 3.14
r^2 = 100

Taking the square root of both sides to solve for r, we get:

r = √100
r = 10

The diameter of a circle is twice the radius, so to find the diameter we multiply the radius by 2:

D = 2r
D = 2 * 10
D = 20

Therefore, the diameter of the pool cover is 20 feet.