Geometry

Question Analysis

The main focus is leveraging the circle's circumference formula to determine the radius and then using the radius to calculate the area. It tests the ability to apply two fundamental circle formulas sequentially.

Key Concept Explanation

The circumference formula of a circle is , where is the circumference and is the radius. The area formula is . First, we solve for from the circumference formula and then substitute into the area formula.

Step - by - Step Solution

1. Given the circumference formula and , substitute : .

2. Solve for by dividing both sides of the equation by :

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