the circumference of a circle is 8 inches. find the area if the circle in terms of pi

Answer 1

The circumference (C) of a circle with a radius r is calculated by: C = 2 * ¶ * r

If the circumference is 8 , then:

8 = 2 * ¶ * r

We can solve this equation for the radius:

8 = 2 * ¶ * r

2 2

4 = ¶ * r

4 = r

¶

The area (A) ¶of a circle is equal to : A = ¶ * r ²

Here r = 4

¶

A = ¶ * 16

¶ * ¶

A = 16 square inches

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