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