In the given figure, ABC is an equilateral triangle which is inscribed inside a circle and whose radius is r. Which of the following is the area of the triangle ? Options: A . &nbsp$${\left( {r + DE} \right)^{\frac{1}{2}}}{\left( {r - DE} \right)^{\frac{3}{2}}}$$ B . &nbsp$${\left( {r - DE} \right)^{\frac{1}{2}}}{\left( {r + DE} \right)^2}$$ C . &nbsp$${\left( {r - DE} \right)^2}{\left( {r + DE} \right)^2}$$ D . &nbsp$${\left( {r - DE} \right)^{\frac{1}{2}}}{\left( {r + DE} \right)^{\frac{3}{2}}}$$

In the given figure, ABC is an equilateral triangle which is inscribed inside a

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