1. If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?
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- By: anil on 05 May 2019 01.47 amGiven : $$angle$$ ACB = 30° To find : OA : AB = ? Solution : Angle subtended by an arc at the centre is double the angle subtended by it at any point on the circle. => $$angle$$ AOB = $$2 imes$$ $$angle$$ ACB => $$angle$$ AOB = $$2 imes30^circ=60^circ$$ In $$ riangle$$ AOB, OA = OB = radii of circle => $$angle$$ OAB = $$angle$$ OBA = $$60^circ$$ Thus, $$ riangle$$ OAB is an equilateral triangle and OA = OB = AB => OA : AB = 1 : 1 => Ans - (A)
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