In the given figure, ‘O’ is the centre of the circle. If ∠ACB =

1.	In the given figure, ‘O’ is the centre of the circle. If ∠ACB = 35°, then ∠AOB =A) 1/2∠ACB B) 3 ∠ACB C) 55° D) 2 ∠ACB
Answer» Correct option is (D) 2 ∠ACB Angle subtended by an arc at the centre of the circle is double than the angle subtended by that arc at any point on the circumference. \(\because\) \(\angle AOB\) = Angle subtended by arc AB at centre O \(\angle ACB\) = Angle subtended by arc AB at point C of circumference \(\therefore\) \(\angle AOB\) = \(2\,\angle ACB\) Correct option is D) 2 ∠ACB

In the given figure, ‘O’ is the centre of the circle. If ∠ACB = 35°, then ∠AOB =A) 1/2∠ACB B) 3 ∠ACB C) 55° D) 2 ∠ACB

Answer»

Correct option is (D) 2 ∠ACB

Angle subtended by an arc at the centre of the circle is double than the angle subtended by that arc at any point on the circumference.

\(\because\) \(\angle AOB\) = Angle subtended by arc AB at centre O

\(\angle ACB\) = Angle subtended by arc AB at point C of circumference

\(\therefore\) \(\angle AOB\) = \(2\,\angle ACB\)

Correct option is D) 2 ∠ACB

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In the given figure, ‘O’ is the centre of the circle. If ∠ACB = 35°, then ∠AOB =A) 1/2∠ACB B) 3 ∠ACB C) 55° D) 2 ∠ACB

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