SOLUTION: Find the area of a circle whose circumference is 24π cm

Question 533904: Find the area of a circle whose circumference is 24π cm
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The circumference of a circle, given the radius, is given by

. So if you are given the circumference you can find the radius by

The area of a circle is given by

Since you start with the circumference, just substitute:

Plug in your given number and do the arithmetic. Hint: Leave your answer in terms of

for an exact answer. If you want a numerical approximation, 3.14 is usually close enough, but 3.14159 can be used if you want greater precision.

is only off by 1 in the 3rd decimal place, and

is good to six places.

John

My calculator said it, I believe it, that settles it

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SOLUTION: Find the area of a circle whose circumference is 24&#960; cm