In a circle with centre P,AB is a chord and p | vedclass

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Question

(D) According to the circle theorem,the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part

Vedclass · Accepted Answer

$94$

Vedclass · Answer

(D) According to the circle theorem,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.Here,the arc $AB$ subtends $\angle APB$ at the centre $P$ and $\angle ACB$ at the point $C$ on the major arc.Therefore,$\angle APB = 2 	imes \angle ACB$.Given $\angle ACB = 47^{\circ}$.So,$\angle APB = 2 	imes 47^{\circ} = 94^{\circ}$.

In a circle with centre $P$,$AB$ is a chord and point $C$ is a point other than $A$ and $B$ on the major arc $AB$. If $\angle ACB = 47^{\circ},$ then $\angle APB = $ .......... (in $^{\circ}$)

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