Answer :

Final answer:

To find the area of the circle, use the formula A = πr² after finding the radius using the formula C = 2πr.


Explanation:

To find the area of a circle, we can use the formula A = πr², where A is the area and r is the radius of the circle. In this case, we are given the circumference of the circle, which is 37 inches. We can use the formula C = 2πr to find the radius. Solving for r, we get r = C / (2π). Plugging in the given circumference, we have r = 37 / (2π). Now we can calculate the area using the formula A = π(37 / (2π))². Simplifying the expression, we have A = (37²) / (4π). Evaluating this expression, the area of the circle is approximately 67 square inches.


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