Question

A circular park has a path all around it for walking. If the difference between the radius of the parm amd that of the circle including tbe path is 35m and area of the path is 15400 m², find the sum of the outer and inner radii.

Answer 1

Let R be the radius of the park + path
Let r be the radius of the park
Given R-r = 35
pi R2 - pi r2 =15400
taking pi common,
pi ( R2-r2) = 15400
pi (R+r) (R-r) = 15400
227. 35 (R+r) = 15400
R+r = 15400.7/35.22
= 140