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What is the area of a circle that has a circumference of 42 inches?

A. 141.03 in2
B. 126.60 in2
C. 132.62 in2
D. 21.04 in2

User Tiasia
by
8.0k points

1 Answer

4 votes
First you should know the formula to find circumference of a circle:

C = 2πr

where C is the circumference and r is the radius.

We want to find the area of the circle which is A = πr^2. Thus to find the area, we need to know the radius of the circle.

Now let's plug in the value we know and solve to find the radius:

42 in = 2πr

21 in = πr

r ≈ 6.7 in

Now we plug this value in to the area formula:

A = π(6.7 in)^2

A = π(44.89 in^2)

A ≈ 141.03 in^2

Thus the answer is A.
User David Lay
by
7.7k points
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