In the figure a chord AB on the circle. If the angle made by AB on the Circumference of the circle is $∠ A C B = 55^{\circ}$ . What is the angle $∠ A O B$ (in degrees)?

110

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210

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Solution

The correct option is A
110

We know that the angle a chord makes at the Centre is double the angle it makes on any point on the circumference of the circle.

Therefore, $∠ A O B = 2 ∠ A C B$

= $110^{\circ}$

Suggest Corrections

Similar questions

A C B = 55^{\circ} .

In the adjoining figure A, D, B, C are four points on the circumference of a circle with centre O. Arc AB = 2 Arc BC and $∠$ AOB = $108^{0}$ . FInd:

i. $∠$ ACB

ii. $∠$ CAB

III. $∠$ ADB

O

∠ A O B = 260^{\circ}

C

A B

∠ A C B

∠ A O B

90^{\circ},

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