Find the area of a regular polygon having 15 sides which is inscribed in a circle of radius 4cm. (sin 24 = 0.407)

Solution.

The central angle made by the side of a regular polygon of 15 sides inscribed in a circle = (360⁰ ÷ 15) = 24⁰

In the figure AB is one of the sides of the regular polygon.

∆ OAB is one of the 15 congruent triangles made by the regular polygon.

Radius of the circle (r) = OA = 4 cm

The area of the regular polygon of 15 sides is 48.84 cm2

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AA (ा) – AA ki Matra | आ (ा) की मात्रा
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O (ू ) – OO ki Matra | ऊ (ू) की मात्रा
E ( े) - E ki Matra | ए ( े ) की मात्रा
AI (ै) - AI ki Matra | ऐ (ै)की मात्रा
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