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Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleRegular PolygonMedium2 minQB

MathematicsMediumsingle choice

S1 and S2 are areas of regular inscribed and circumscribed n-gons of the same circle, respectively; S3 is the area of a regular inscribed 2n-gon. Which relation holds?

Options:

Answer:

Solution:

With circle radius R and t= $π$ /n, S1=( $n R^{2}$ /2)sin(2t)= $n R^{2}$ sin t cos t, S2= $n R^{2}$ tan t, and S3= $n R^{2}$ sin t. Therefore S1S2= $n^{2}$ R⁴ $sin^{2}$ t= $S 3^{2}$ .

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

⏱ 2mℹ️ Source: QB

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