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Three circles C1, C2 and C3 having diameters 3 cm, 4 cm and 5 cm are intersecting each other such that their diameters form a triangle. If the area common to circles C1 and C2, C2 and C3, C3 and C1 are a, b and c respectively then find the area common to all the three circles.


Options:
A .   a + b - c
B .   a - b - c
C .   a - b + c
D .   None of these
E .   Cannot be determined.
Answer: Option D
:
D

Three Circles C1, C2 And C3 Having Diameters 3 Cm, 4 Cm And ...


Notice that the diameters form a Pythagoras triplet. The common area to all three circles will be the one between C1 and C2 i.e. "a”.



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