Geometry

Question Analysis

The main focus is applying the formula for the area of a ring. We need to first find the outer radius from the given outer diameter and then calculate the difference between the areas of the outer and inner circles using the formula for the area of a ring.

 

Key Concept Explanation

The area of a circle is given by , where  is the radius. For a ring (annulus), the area , with  being the radius of the outer circle and  being the radius of the inner circle.

 

Step - by - Step Solution

1. Determine the outer radius:

Given the outer diameter  in, the outer radius  in.

2. Apply the formula for the area of the ring:

Substitute  in and  in into .

Calculate