0
votes

A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path?

- $51 \pi$ square feet
- $60 \pi$ square feet
- $69 \pi$ square feet
- $90 \pi$ square feet

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0
votes

A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path?

- $51 \pi$ square feet
- $60 \pi$ square feet
- $69 \pi$ square feet
- $90 \pi$ square feet

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1
votes

Ans is option (C)

Area of the circular garden including the $3$ ft. wide path $=$ $\pi\times(10+3)^{2}=169\pi$ square ft.

Area of the circular garden without the path = $\pi\times 10^{2}=100\pi$ square ft.

$\therefore$ Area of the $3$ ft. wide path = $169\pi-100\pi$ square ft. = $69\pi$ square ft

Area of the circular garden including the $3$ ft. wide path $=$ $\pi\times(10+3)^{2}=169\pi$ square ft.

Area of the circular garden without the path = $\pi\times 10^{2}=100\pi$ square ft.

$\therefore$ Area of the $3$ ft. wide path = $169\pi-100\pi$ square ft. = $69\pi$ square ft

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