Mathematics
In the given figure, O is the centre of the circle and ∠ACB = 30°. Then, ∠AOB = ?
15°
30°
60°
90°
Circles
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Answer
We know that,
Angle which an arc subtends at the center is double that which it subtends at any point on the remaining part of the circumference.
⇒ ∠AOB = 2∠ACB
⇒ ∠AOB = 2 × 30°
⇒ ∠AOB = 60°.
Hence, option 3 is the correct option.
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