Geometry

Question Analysis

The main focus is using the circumference formula to find the radius first and then applying the area formula. Given the circumference, we need to work backward to determine the radius and then calculate the area.

Key Concept Explanation

The circumference formula of a circle is , where is the circumference and is the radius. The area formula is . We first find from the circumference formula and then substitute it into the area formula.

Step - by - Step Solution

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

2. Solve for : Divide both sides of the equation by , we get