A fountain is surrounded by a circular path as shown below.The fountain has radius 10 m.The path has width 5 m.The area of the path is _____.(Take π = 3.14)

To find the area of the path, we first need to find the area of the entire circle (fountain + path) and then subtract the area of the fountain.

1. The radius of the entire circle (fountain + path) is the radius of the fountain plus the width of the path, which is 10 m + 5 m = 15 m.

2. The area of the entire circle is given by the formula πr², where r is the radius of the circle. Substituting r = 15 m and π = 3.14, we get the area as 3.14 * (15 m)² = 3.14 * 225 m² = 706.5 m².

3. The area of the fountain is also given by the formula πr², but this time r is the radius of the fountain, which is 10 m. Substituting r = 10 m and π = 3.14, we get the area as 3.14 * (10 m)² = 3.14 * 100 m² = 314 m².

4. Finally, the area of the path is the area of the entire circle minus the area of the fountain, which is 706.5 m² - 314 m² = 392.5 m².

So, the area of the path is 392.5 m².