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timama [110]
2 years ago
11

The area of the surface of a circular pond is needed. A measure about the pond gives a circumference of about 47 feet. Find the

area.
Mathematics
1 answer:
Whitepunk [10]2 years ago
3 0

Answer:

55.95 ft²

Step-by-step explanation:

Circumference formula:  C = 2πr  =>  r = C / (2π)

Area formula:  A = πr²

Substituting C / (2π) for r in the above equation, we get:

               C                        47 ft

A = π( ----------- )²  =  π ( -------------- )²

              2π                       (2π)

or ...

          π(47 ft)²                   2209 ft²

A = ----------------------  =  --------------------  =  55.95 ft²

               4π²                   4(3.14159)²

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