Question

the diameter of two circle with Centre A and B are 16 cm and 30 cm respectively if area of circle with Centre C is equal to the sum of area of the other two circle then find the circumference of the circle with Centre c

Answer 1

Let the radius of circle with centre A, B, C be r1, r2 , r3 respectively.
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r1 = 16/2 = 8 cm
r2 = 30/2 = 15 cm
A.T.S.
πr12 + πr22 = πr32
π (r12 + r22) = πr32
64 + 125 = r32
r32 = 189
r3 = 17 cm
Circumference of the circle with centre C = 2πr3
  = 2 x 22/7 x 17
  = 748/7 = 106.85 cm