In Figure 3, from an external point $P$, two tangents $PQ$ and $PR$ are drawn to a circle of radius $4$ cm with centre $O$. If $\angle QPR = 90°$, then length of $PQ$ is

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Question

In Figure 3, from an external point $P$, two tangents $PQ$ and $PR$ are drawn to a circle of radius $4$ cm with centre $O$. If $\angle QPR = 90°$, then length of $PQ$ is

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Accepted Answer

Step 1: $OQ \perp PQ$ and $OR \perp PR$. Since $\angle QPR = 90°$, $OQPR$ is a square. Therefore $PQ = OQ = 4$ cm.

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