Question

The sum of the radii of two circles is 140cm and the difference of their circumferences is 88cm. Find the diameters of the circles.

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Let the radii of bigger circle be R and smaller circle be r cm respectively.

According to the question,

R+r = 140 ----(1)

R-r = 88 ----(2)

(1)+(2) ,we get,

2R = 140+88 = 228

R = 228/2 = 114 cm.

Now,

114+r = 140

r = 140-114 = 36 cm.

Diameter of the larger circle = 2×R = 2×114 = 228 cm.

Diameter of the smaller circle = 2×r = 2×36 = 72 cm.