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Geometry and Trigonometry
Difficulty: Medium
A circle has a radius of inches. The area of the circle is square inches, where is a constant. What is the value of ?
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Explanation
The correct answer is . The area, , of a circle is given by the formula , where is the radius of the circle. It's given that the area of the circle is square inches, where is a constant, and the radius of the circle is inches. Substituting for and for in the formula yields . Dividing both sides of this equation by yields . Therefore, the value of is .