College

The area of a circle is 97 in². What is the circumference, in inches? Express your answer in terms of \(\pi\).

Answer :

Final answer:

To find the circumference of a circle when the area is given, calculate the radius using the area formula and then substitute the radius into the circumference formula.


Explanation:

To find the circumference of a circle, you can use the formula C = 2πr, where C represents the circumference and r represents the radius. Given that the area of the circle is 97 in², you can calculate the radius using the formula A = πr², rearranging it to solve for r: r = √(A/π). Plugging in the given area, r = √(97/π) ≈ √(97/3.14) ≈ 5.51 in. Finally, you can substitute the radius into the circumference formula: C = 2π(5.51) ≈ 34.6 in.


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