A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. \(18 \pi in\)
B. \(6 \pi in\)
C. \(12 \pi in\)
D. \(24 \pi in\)
We need to find the circumference of the circle.
Before finding the circumference of a circle, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, then the area of the circle is:
Substituting the value of area in the above equation
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
Therefore, the Correct Answer is D.