Question

Find the radius of a circle with the given circumference.

12 pi in.
r =
6 inches
7 inches
12inches
24 inches

Answer 1

circumference of a circle = 2πR

Since circumference of a circle =12π in.(given)

Then: 12π=2πR

Simplify by π===>12 =2R===>divide both sides by 2

R=6 in

Answer 2

Option (a) is correct.

radius of circle whose circumference is
`12\pi` inches is 6 inches.

Explanation:

Given : circumference of a circle is
`12\pi` inches

We have to find the radius of circle whose circumference is
`12\pi` inches.

Circumference is the distance of the outer path of the circle.

Circumference of circle is given as
`2\pi r`

We know circumference =
`12\pi` inches

Substitute, we get,

`12\pi=2\pi r` inches

Solving for r,

Divide both sides by
`\pi` , we get,

`12=2 r` inches

Divide both side by 2, we get,

r = 6 inches

Thus, radius of circle whose circumference is
`12\pi` inches is 6 inches.

Option (a) is correct.