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Question

ind the perimetre to the nearest tenth of centimtre of a regular polygon with 30 sides that is incribed in a circle of radius 50cm.

Answer 1

Calculate the perimeter of a regular polygon that is inscribed in a circle by using formula : P = 2nr * sin(π/n), where n = number of sides, r = radius of the circle, π = 3.14 and here angle in radians.

Substitute the values of n = 30 and r = 55 in the above formula.

P = 2(30)(50) * sin(3.14 / 50)

P = 3000 * sin(0.0628)

P = 189 cm.