Mathematics

In the given figure, O is the centre of the circle and ∠ACB = 30°. Then, ∠AOB = ?

  1. 15°

  2. 30°

  3. 60°

  4. 90°

In the given figure, O is the centre of the circle and ∠ACB = 30°. Then, ∠AOB. Loci, RSA Mathematics Solutions ICSE Class 10.

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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