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01-03-2020
Mathematics

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The circular play area has a diameter of 16 feet. There is a walkway that surrounds the play area and is 3 feet wide. What is the area of the walkway? Round your answer to the nearest whole foot?

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xlittlexwolfx43 xlittlexwolfx43

01-03-2020

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk = 380 - 201 = 179

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