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Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleRegular PolygonEasy2 minQB

MathematicsEasyinteger

If $r$ and $R$ are respectively the radii of the inscribed and circumscribed circles of a regular polygon of n sides such that $\frac{R}{r} = 5 - 1$ , then n is equal to

Answer:

Solution:

$r = \frac{a}{2} cot \frac{π}{n}; R = \frac{a}{2} cosec \frac{π}{n}$

$∴ \frac{R}{r} = sec \frac{π}{n} = 5 - 1 = sec 3 6^{0} ∴ \frac{π}{n} = \frac{π}{5} \Rightarrow n = 5$

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Regular Polygon

⏱ 2mℹ️ Source: QB

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