Question

A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3. 14 for Pi. 172. 70 ft2 178. 98 ft2 200. 96 ft2 379. 94 ft2.

Answer 1

area of the path alone is 178.98 ft²

Explanation:

Since the circular garden is surrounded by a circular path, two circles are formed.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the circular garden,

Radius = 8 ft

Area = 3.14 × 8² = 200.96 ft²

Considering the circular garden and the circular path together,

Radius = 8 + 3 = 11 ft

Area = 3.14 × 11² = 379.94 ft²

Area of the path alone is the circular garden and the circular path together - area of circular path

It becomes

379.94 - 200.96 = 178.98 ft²