Question 137

The angle subtended by a chord at its centre is 60°, then the ratio between chord and radius is

Solution

=> OA = OB = radii

=> $$\angle$$OAB = $$\angle$$OBA

In $$\triangle$$ OAB,

=> $$\angle$$OAB + $$\angle$$OBA + 60 = 180

=> $$\angle$$OAB = $$\angle$$OBA = 60

SInce, all angles are equal, => all sides will be equal too.

=> OAB is equilateral triangle with OA = AB

=> AB : OA = 1 : 1

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