angle of regular polygon of n sides in a circular system is k radians K is equal to - Maths - Areas Related to Circles

Question

angle of regular polygon of n sides in a circular system is k
radians K is equal to?

Brijendra P. · Accepted Answer

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"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_5675288690b05%20png"
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Here in right angle triangle AMC, sinθ2=a2r=a2rθ2=sin-1a2rSo θ= 2sin-1a2rNow we have to find angle 2x So AB and AC are same so angle ABC = angle ACB θ+x+x= 180 2x = 180-θ=180- 2sin-1a2rSo each interior angle is 180- 2sin-1a2rSo K = 180- 2sin-1a2r

angle of regular polygon of n sides in a circular system is k radians.K is equal to?