A path of 8 m width runs around the outside of a circular park whose radius is 17 m. Find the area of the path.
Given radius of circular park = R = 17 m
Width of the circular path outside the park = d = 8 m
Therefore, the radius of the outer circle = R’ = R + d
Outer radius = R’ = 17 + 8
R’ = 25 m
Area of inner circle = πR2 and,
Area of outer circle = πR’2
Area of path = Area of outer circle – Area of inner circle
= πR’2 – πR2 (put values of R’ & R)
= π(252) – π(172)
= π(252 – 172) (taking π common from R.H.S)
= π(625 – 289)
(put π = 22/7)
= 7392/7
= 1056 m2
The area of the path is 1056 m2.