Question

Find the circumference of a circle whose area is 24pi ft^2

Answer 1

Area = 24pi ft^2 = pi * r^2
This gives r = root24


Circumference = 2pi * r
= 2pi * root24
= 4pi * root6


Hope I'm able to help you.

Answer 2

30.76
`ft^(2)`

Explanation:

To calculate the circumference of a circle you just have to multiply the diameter by pi.

C= D*
`\pi`

And in order to calculate the value of the diameter you have to clear the formula for the area.

A=
`r^(2) *\pi`

r=
`\sqrt{(24 \pi )/(\pi ) }`

r=
`√(24)`

r=4,89

Once we get the radius, we only have to calculate the diameter:

D=2r=9,79

now we just calculate the circumference:

C=D*
`\pi`= (9.79)(3.14)= 30.76