Question

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

Answer 1

Answer:

16π cm squared

Step-by-step 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!

Answer 2

Answer:

16π cm

Step-by-step explanation:

Area = π × r²

64π = π × r²

r² = 64

r = 8

Circumference = 2 π × r

= 2 π × 8

= 16π