Geometry

Question Analysis

The main focus is using the formula for the area of a circle and fraction multiplication to find the area of the fountain section. Given the diameter of the circular garden, we first find the radius, then calculate the total area of the garden, and finally determine the area of the fountain by multiplying the total area by the fraction representing the fountain's portion.

Key Concept Explanation

The area of a circle is given by the formula , where  is the radius. To find the area of a fractional part of the circle, we multiply the fraction of that part by the total area of the circle. Here, the fraction of the garden that is the fountain is , so the area of the fountain .

Step - by - Step Solution

1. Calculate the radius of the circular garden. Since the diameter  meters, the radius  meters.

2. Find the total area of the circular garden using the formula

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