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.

Answer 1

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