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JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

The sum of the radii of inscribed and circumscribed circles for an -sided regular polygon of side , is

Answer: (A)

Solution

Each side subtends an angle at the centre. In the right triangle formed by the centre, a vertex and the midpoint of a side, the half-side is and the half-angle is . So

R=, r=Missing argument for \frac\frac{a}{2

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Question ID VK-110097