Geometry

Question Analysis

The main focus is leveraging the ratio of radii and the area of the ring to determine the outer radius. We'll apply the ring - area formula and use the ratio to set up an equation for solving the unknown radius.

Key Concept Explanation

The area formula for a ring is , where  is the outer radius and  is the inner radius. When radii are in a given ratio, we can express them in terms of a common variable to simplify calculations.

Step - by - Step Solution

1. Let the outer radius  and the inner radius  (x > 0).

2. Substitute into the ring - area formula: .

3. Given , set up the equation

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