Question

HELPP PLEASE ASAP!

The circumference of a circle is 7pi m

What is the area of the circle?

A)3.5pi m^2
B)12.25pi m^2
C)14pi m^2
D)49pi m^2

Answer 1

B) 12.25πm²

Explanation:

The formula for the circumference of a circle is

C = 2πr

The circumference of your circle is

C = 7πm

If we factor out a 2 from the 7, we get

C = (2 × 3.5)πm = 2π(3.5m)

Now, if we compare the two formulas, we see that

r = 3.5m

The formula for the area of a circle is

A = πr²

If r = 3.5m, then the area of your circle is

A = π(3.5m)² = 12.25πm²