Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

Find the sum of the inradius and circumradius of a regular $n$ -gon of side $a$ .

Answer:

Solution:

With $θ = π / n, R = a / (2 sin θ)$ and $r = a / (2 tan θ)$ , so $R + r = (a /2) (1 + cos θ) / sin θ = (a /2) cot (π / (2 n))$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: QB

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