A circular swimming pool has a circumference of 20\pi feet. What is the diameter of the po… — Armed Services Vocational Aptitude Battery (ASVAB)

A circular swimming pool has a circumference of $20\pi$ feet. What is the diameter of the pool in feet?

Answer: 20 feet

The formula for the circumference of a circle is

C = \pi d

. By substituting the given circumference of

20\pi

into the formula, we get

20\pi = \pi d

. Dividing both sides by

\pi

yields a diameter of

20

feet.

Identify the formula for the circumference of a circle.

C = \pi d

, where

C

is circumference and

d

is diameter.

This formula directly relates the given circumference to the unknown diameter.

Substitute the given value into the formula.

20\pi = \pi d

The problem states the circumference is

20\pi

feet.

Solve for the diameter (

d

d = 20

Dividing both sides of the equation by

\pi

isolates the value of

d

Circumference of a circle

Estimated Time:45s

Question