Geometry

Question Analysis

The main focus is using the formula for the area of a ring to find the area of the region between the outer circle (garden) and the inner circle (flower bed) by calculating the difference between their areas.

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. Identify the values of  and : Here, the outer radius  meters (radius of the garden) and the inner radius  meters (radius of the flower bed).

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

Substitute into .

Calculate  and .

Then

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