In the figure the vertices of the polygon ABCDEFGH are points on a circle with centre O.
a) What is ZAOB?
b) Construct a 8 sided regular polygon with vertices on a circle of radius 3 centimetre.
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Step-by-step explanation:
ABCDEFGH is a regular octagon so, all side of octagon is equal.
∠AOB = 360/8 = 45°
In triangle AOB, OA = OB
SO, ∠OAB = ∠OBA
⇒ 2 × ∠OAB + ∠AOB = 180
⇒ ∠OAB = 135/2
The ratio of ∠OAB to ∠AOB = 135/2 : 45 = 3 : 2
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