Question

The circumference of a circles is 16 pi ft. What is the area of the circle?

Answer 1

64π ft^2.

Explanation:

The formula for finding the Circumference of a circle is: C = πd where d represents the diameter of the circle.

We know that C = 16 pi ft, solving for d:

C = πd -> d= C/π = 16ft.

The area enclosed of a circle of radius r is π r^2.

we know that r = d/2 = 16ft / 2 = 8ft

Then the area of a circle is: π r^2 = π (8)^2 = 64π ft^2.

Answer 2

A = 64 pi unit^2

Explanation:

Circumference is given by

C = 2 * pi *r

16 pi = 2 * pi *r

Divide each side by pi

16 = 2r

Divide by 2

16/2 = 2r/2

8 = r

Now we can find the area

Area is equal to

A = pi r^2

A = pi (8)^2

A = 64 pi unit^2