The angle subtended by an arc at the centre is ______ the angle subtended by it at any point on the circle.

equal to

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double

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half of

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triple

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Solution

The correct option is B double
According to the chord property,
Angle subtended by a chord at the centre is twice the angle subtended by the same chord on the remaining part of the circle.

Hence, the answer of this question is double.

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Similar questions

Q. "The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle ."

O is the centre of the circle. AB is a minor arc of the circle. The angle subtended by AB at centre, $∠$ AOB = $110^{\circ}$ , then angle subtended by the arc at any point on the circle say $∠$ APB is ____, where P is any point on the circle.

Q. The measure of angle subtended by an arc at the centre of a circle is (double/ half) the measure of the angle subtended by the arc at any point on the circle.

O is the centre of the circle. AB is a minor arc of the circle. The angle subtended by AB at centre $∠$ AOB = $110^{\circ}$ , then angle subtended by the arc at any point on the remaining part of the circle i.e. $∠$ APB is (where P is any point on the circle)?

Q. Angle subtended by any chord of a circle at the centre of a circle is ___ the angle subtended at the major arc by the same chord.

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The angle subtended by an arc at the centre is ______ the angle subtended by it at any point on the circle.

The correct option is B doubleAccording to the chord property, Angle subtended by a chord at the centre is twice the angle subtended by the same chord on the remaining part of the circle. Hence, the answer of this question is double.

The correct option is B double
According to the chord property,
Angle subtended by a chord at the centre is twice the angle subtended by the same chord on the remaining part of the circle.

Hence, the answer of this question is double.