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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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The area of the circle and the area of a regular polygon of nn sides and of perimeter equal to that of the circle are in the ratio of
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Correct option: A
tan⁑  (Ο€n)β€…β€Š:  πn\tan \,\,\left( {\frac{\pi }{n}} \right)\;:\,\,\frac{\pi }{n}
Option A (tan⁑,(Ο€n);:,Ο€n\tan \\,\left( {\frac{\pi }{n}} \right)\\;:\\,\frac{\pi }{n}) is correct because the ratio of the area of the circle to the area of the regular polygon can be expressed in terms of tan⁑(Ο€n)\tan \left( {\frac{\pi }{n}} \right) and Ο€n\frac{\pi }{n}.

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