Question

a circular park has a path all around it for walking . if the difference between the radius of the park and that of the circle including the path is 35 m and area of the path is 15400m^ find the sum of the outer and inner radii.

Answer 1

Answer:-

Let radius of Path be 'R' and park be 'r'

Given:- R-r = 35   --     1

Area of path = 15400

Now,

Area of path = 15400 - Given

pie (R²- r²)  = 15400

22/7  (R²- r²)  = 15400

22/7 [(R - r)(R+r)] = 15400

From eq 1

22/7 [(35)(R+r)] = 15400

22 (5) (R+r) = 15400

(5) (R+r)  = 15400÷ 22

(5) (R+r)  = 700

(R+r) = 700÷5

R+r = 140

Hence Solved

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