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Area between x=g(y) and y Axis

An equilatera...

Question

An equilateral triangle is constructed on the diameter of a unit circle. Find its area ?

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Solution

Diameter of circle = side of triangle
$\Rightarrow a = 2$
Area $= \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times 2 \times 2 = \sqrt{3}$ sq .units

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