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Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet. 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

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Answer:

178.98 ft2

Step-by-step explanation:

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The approximate area of the path is 179 ft².

Area of the smaller circle

The area of the smaller circle is calculated as follows;

A₁ = πr₁²

Where;

  • r₁ is the radius of the smaller circle = 8 ft

A₁ = π x 8²

A₁ = 201.088 ft²

Area of the bigger circle

A = πr₂²

Where;

  • r₂ is the radius of the bigger circle = 8 + 3 = 11 ft

A₂ = π x (11)²

A₂ = 380.18 ft²

Area of the path

A = A₂  - A₁

A = 380.182 ft²  -  201.088 ft²

A = 179.094 ft²

Thus, the approximate area of the path is 179 ft².

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