The circumference of a circle is 19pi ft. What is the area, in square feet? Express your answer in terms of pi.

A = 90.25 pi ft^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi* r

19pi = 2 * pi * r

Divide each side by 2pi

19pi/2pi = 2 * pi *r/2pi

9.5 = r

Now find the area

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi ft^2

Step-by-step explanation:

Circumference is found in

while area is

Since we know the circumference value, we can plug it in and solve for r:

Since and , then

and

The pi's cancel out, leaving us with the fact that

We will use that now in the area formula:

so

A = 90.25π

answer by yourhope:

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