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Quantitative Aptitude

Circles

Three circles...

Question

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.

A

a + b - c

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B

a - b - c

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C

a

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D

c

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Solution

The correct option is D
c

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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