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  1. A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
    1. 80°
    2. 60°
    3. 30°
    4. 90°
Correct Option: C

According to question , we draw a figure of a circle whose a chord is equal to its radius

OA = OB = AB
∴ ∆ OAB is an equilateral triangle.
∴ ∠AOB = 60°

∴ ∠ACB =
60°
= 30°
2

Angle subtended at the centre by an arc is twice to that at the circumference.



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