Find the length of the side of regular polygon of 12 sides inscribed in a circle of radius 6cm.
Let AB be a side of the regular polygon with 12 sides in the circle of radius 6 cm.
If O is a centre of the circle, then ∠AOB = 
= 30°
Draw OC perpendicular to AB.
Then ∠AOC = 
= 15°
⇒ sin 15° = 
= 
⇒ 0.2588 = 
⇒ AC = 0.2588 × 6 = 1.5528
∴ Length of the side AB = 2 × AC = 2 × 1.5528 = 3.1056 cm
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