Question

A circular garden whit a radius of 8 feet is surrounded by a circular path with a width of 3 feet .what is the aproxímate area of the plan alone ?Use 3.14

Answer 1

the area of the circle surrounding everything is 11^2pi=121pi=379.94

379.94-8^2pi=379.94-200.96=178.98

Answer 2

179.1 ft^2

Explanation:

The radius of the centerline of the path is 8 ft + (3 ft/2) = 9.5 ft. Then the area of the path is the product of the width of the path and the circumference at that centerline radius:

A = (3 ft)(2π(9.5 ft)) = 57π ft^2 ≈ 179.07 ft^2

The area of the path is about 179.1 square feet.

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If you use 3.14 instead of a more accurate value of π, the result will be an area of 178.98 ft^2.