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The circumference of a circle is 15 in. What is the area, in square inches? Express

your answer in terms of π

User Rachit
by
3.8k points

1 Answer

6 votes

Answer:

225/4π

Explanation:

Circumference to diameter formula: divide by π

Therefore, the diameter is 15/π

Diameter to radius formula: divide by 2

Therefore, the radius is 15/2π

Radius to the area of the circle formula: πr^2

Thus, the area of the circle is

π(15/2π)^2 = 225π/(4π^2)

225/4π

I hope this helps!

User Powlo
by
3.9k points