Question

The circumference of this tabletop is 24π inches, Which of the following best describes how to determine the area of the tabletop?

A) Multiply 2(24) to calculate the diameter. Then multiply the diameter by π
B Find half of 24 to calculate the radius. Then multiply the radius by π.
C Multiply 2(24) to calculate the diameter. Then square the diameter and multiply the result by it π
D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.​

Answer 1

D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.​

Explanation:

Given that circumference of circle is:
`24 \pi`

The formula for circumference of circle is:

`C = 2\pi r`

Comparing both formulas, we get

`24\pi = 2\pi r\\24 = 2r\\r = (24)/(2)\\r = 12`

The radius is obtained by dividing 24 by 2.

We also know that the area of circle is:

`A = \pi r^2`

The radius is being squared and then multiplied by pi to get the area.

Hence,

The correct answer is:

D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.​