The sum of the radii of two circles is 140 cm and the difference of their circumferences is 88 cm. Find the radii of the two circles. (Hint. (R1 + R2) = 140 and 27 (R1 - R2) = 140 and 27 (R1 - R2) = 88 or (R1 - R2) = 14. Find R, and R..]
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Let the radii of the two circles ber₁ and r₂
Given, r₁ r₂ = 140
r₁ 140 r₂-------(i)
=
Also, 2лг₁2лг₂ = 88
-
88 2π => r₁ r₂ =
Putting the value of r₁ from equation (i), we have
40 r2 r2 88 × 7 2 × 22
2r2 = 140 14r₂ = 63
Putting the value of r2 in (i), we get
r₁140-63
r₁ = 77
Thus, the two radii are 77 cm and 63 cm.
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