(a)The sum of two radii of two circles is 140cm and the difference of their circumference is 88cm.Find the diameter of the circle.
(b)the sum of the two radii of two circles is 70cm and the difference of their curcumferences is 8 cm.Find the circumference.
a) let radii of two circle be r1 and r2
r1 + r2 = 140 ………………(1)
circumfrence1 – circumference2 = 88
2r1 - 2r2 = 88
2( r1 – r2 ) = 88
r1 – r2 =
r1 – r2 =
r1 – r2 = 14 …………………(2)
adding eqn (1) and (2)
2 r1 = 154
r1 = 154/2 = 77 cm
put this value in eqn (1)
we get, 77 + r2 = 140
r2 = 140 – 77
r2 = 63 cm
b) let radii of two circle be r1 and r2
r1 + r2 = 70 ………………(1)
circumfrence1 – circumference2 = 88
2r1 - 2r2 = 88
2( r1 – r2 ) = 88
r1 – r2 =
r1 – r2 =
r1 – r2 = 14 …………………(2)
adding eqn (1) and (2)
2 r1 = 84
r1 = 84/2 = 42cm
put this value in eqn (1)
we get, 42 + r2 = 70
r2 = 70 – 42
r2 = 28 cm