Q. 115.0( 1 Vote )

Find the length o

Answer :

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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