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

1. $51 \pi$ square feet
2. $60 \pi$ square feet
3. $69 \pi$ square feet
4. $90 \pi$ square feet

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
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