Geometry

Question Analysis

The main focus is using the area formula of a circle to find the radius and then determining the diameter. Given the area, we need to reverse - engineer the formula and then use the relationship .

Key Concept Explanation

The area formula of a circle is , where is the area and is the radius. The diameter of a circle is related to the radius by . To find the radius from the area, we divide by and then take the square root.

Step - by - Step Solution

1. Start with the formula , substitute . We get .

2. Divide both sides of the equation by :

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