The two circles are externally tangent.If the radius of bigger and smaller circles are 6 and 2 respectively.Then the area of quadrilateral $PQSR$ is

Question

The two circles are externally tangent as shown in the figure.If the radius of bigger and smaller circles are 6 and 2 respectively.Then the area of quadrilateral $PQSR$ is

$(A)24\sqrt3\hspace{1 cm}(B)12\sqrt3\hspace{1 cm}(C)12\hspace{1 cm}(D)24$

I tried and thought hard but no known formula or method seems to come at aid.Please help me.

Answer 1

Hope you can continue with that.

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This is the final version with minor mistakes corrected:-

Answer 2

First, you can prove that PQRS is a trapezoid and use the corresponding formula. Then notice that the two circles with their corresponding details are similar. Using this and a bit of trigonometry, you can find the angle between the two tangent lines. At the end, the answer is A (If I have not made any mistakes).