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21 June, 06:42

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

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Answers (1)
  1. 21 June, 08:23
    0
    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.
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