Geometry

Question Analysis

The main focus is using the circumference formula to find the radius and then applying the area formula. Given the circumference, we need to extract the radius first and then calculate the area of the circle.

Key Concept Explanation

The formula for the circumference of a circle is , where is the circumference and is the radius. The formula for the area of a circle is . We use the circumference formula to solve for and then substitute into the area formula.

Step - by - Step Solution

1. Start with the circumference formula . Since , substitute into the formula: .

2. Solve for : Divide both sides of the equation by . We get centimeters.

3. Calculate the area using the area formula

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