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The circumference of a circle is 6π inches. What is the area of the circle?

Alternative Text
A. 3π in.2
B. 9π in.2
C. 12π in.2
D. 36π in.2

The circumference of a circle is 6π inches. What is the area of the circle? Alternative-example-1

2 Answers

5 votes

Answer:

3πin.2

Explanation:

User Hussein El Feky
by
6.0k points
1 vote
To determine the area of the circle, we need to first calculate the radius of the circle. We can do this from the given circumference. The circumference has a formula of C = 2πr. We do as follows:

C = 2πr
6π = 2πr
r = 3

Therefore, area would be,

A = πr²
A = π(3)² = 9π

Option B is the correct answer.
User Stkvtflw
by
6.2k points