AP EAMCET201726 Apr 2017Morning ShiftMathematicsCircleActual

The angle between the two circles, each passing through the centre of the other is

Options

A2 3
B2
C6

Correct answer

A. 2 3

Step-by-step solution

Let be the angle between two circles. As each circle passing through the centre at each other. Then, c₁ c₂=r₁=r₂ From the figure, aligned & = r₁^2+r₂^2-c₁ c₂ 2 r₁ r₂ & = r₁^2+r₂^2-r₁^2 2 r₁ r₂ & = 1 2 & = 3 aligned Hence, angle between two circle is either 3 or - 3 = 2 3

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