College

The circumference of a circle is 197 ft. What is the area, in square feet? Express your answer in terms of [tex]\pi[/tex].

Answer :

Final answer:

To find the area of a circle, divide the given circumference by 2*pi to find the radius, then substitute the value into the formula A = pi * r^2. Simplify the expression to find the area in square feet.


Explanation:

To find the area of a circle, we need to use the formula A = pi * r^2, where A is the area and r is the radius. Given that the circumference is 197 ft, we can find the radius by dividing the circumference by 2*pi. So, the radius is 197 /(2*pi) ft. Substitute this value into the formula to find the area.

A = pi * (197 /(2*pi))^2

Simplifying this further, A = 197^2 / (4*pi).

Therefore, the area of the circle is 197^2 / (4*pi) square feet.


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