Question:

Draw a circle of radius 3.3 cm. Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q.

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The tangent to a circle is always perpendicular to the radius at the point of contact.
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Solution and Explanation

1. Draw a circle with center $O$ and radius $3.3$ cm.
2. Draw a chord $PQ$ of length $6.6$ cm.
3. Draw the radius $OP$ and $OQ$.
4. At points $P$ and $Q$, draw lines perpendicular to $OP$ and $OQ$ respectively.
5. These perpendicular lines are the required tangents to the circle at points $P$ and $Q$.
Result: The two tangents drawn at points $P$ and $Q$ are the required tangents.
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