A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the pond has a radius of 200 ft and the radius of the whole space is 250 ft?

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20-03-2017
Geography

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A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the pond has a radius of 200 ft and the radius of the whole space is 250 ft?

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HomertheGenius HomertheGenius · Answer 1 · 2017-03-27T17:43:49-04:00

HomertheGenius HomertheGenius

27-03-2017

Area of the whole space:
A 1 = r² π = 250² π = 62,500 π = 62,500 · 3.14 = 196,250 ft²
The circular pond area:
A 2 = 200² π = 40,000 π = 40,000 · 3.14 = 125,600 ft²
The area of gravel path:
196,250 - 125,600 = 70,650 ft²

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