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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 Text A 3π in2 B 9π in2 C 12π in2 D 36π in2 class=

Respuesta :

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.

Answer:

3πin.2

Step-by-step explanation: