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Question
A path of 8 m width runs around the outsider of a circular park whose radius is 17 m. Find the area of the path.
Solution
The radius (r) of the inner circle is 17 m.
The radius (R) of the outer circle is 25 m. [Includes path, i.e (17 + 8)]
Area of the path `= pi"R"^2 - pi"r"^2`
`=pi("R"^2-"r"^2)`
`=22/7(25^2 - 17^2)`
`=22/7xx(25-17)(25+17)`
`=22/7xx8xx42`
= 1056 m2
∴ Area of the path = 1056 m2
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