Question

The circumference of a circle is 24pi ft what is the area in square ft

Answer 1

Given in the question:

a.) The circumference of a circle is 24pi ft.

Recall: Formula in getting the circumference of a circle.

`\text{ Circumference = 2}\pi r`

Let's first determine the radius of the circle.

`\text{ Circumference = 2}\pi r`
`\text{ 24}\pi\text{ = 2}\pi r`
`\text{ }\frac{\text{24}\pi}{2\pi}\text{ = }\frac{\text{2}\pi r}{2\pi}`
`\text{ 12 = r}`

Therefore, the radius of the circle is 12 Ft.

Recall: Formula in getting the area of the circle.

`\text{ Area = }\pi r^2`

We get,

`\text{ Area = }\pi r^2`
`\text{ = }\pi(12)^2`
`\text{ Area = 144}\pi\text{ squared ft.}`

The area of the circle is, therefore, 144pi sq. ft.