Question

The area of a circle is 64π cm². What is the circumference, in centimeters? Express your answer in terms of \piπ.

Answer 1

16π cm

Explanation:

Area = π × r²

64π = π × r²

r² = 64

r = 8

Circumference = 2 π × r

= 2 π × 8

= 16π

Answer 2

16π cm squared

Explanation:

The area of a circle is denoted by:
`A=\pi r^2`, where r is the radius. Here, we know that A = 64π, so plug this in:

`A=\pi r^2`

`64\pi =\pi r^2`

Solve for r:

`r^2=64`

r = 8 cm

The circumference of a circle is denoted by: C =
`2\pi r`, where r is the radius. We found that r = 8, so plug this in:

C = 2πr

C = 2π * 8 = 16π cm squared

Hope this helps!