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Arisa [49]
3 years ago
15

Find the area of a circle with a circumference of 12.56 units

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Answer:

12.56 square units

Step-by-step explanation:

The formula for circumference is

C = 2πr

Our circumference is 12.56.  Using 3.14 for π, we have

12.56 = 2(3.14)r

12.56 = 6.28r

Divide both sides by 6.28:

12.56/6.28 = 6.28r/6.28

2 = r

The area of a circle is given by the formula

A = πr²

Using 3.14 for π and our radius of 2, we have

A = 3.14(2²) = 3.14(4) = 12.56.

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