Question:
Draw a circle of radius 3 cm. Draw a tangent to the circle making an angle of 30° with a line passing through the centre.
Solution:
Steps Of construction:
Step 1. Draw a circle with centre O and radius 3 cm.
Step 2. Draw radius OA and produce it to B.
Step 3. Make $\angle A O P=60^{\circ}$.
Step 4. Draw $\mathrm{PQ} \perp O P$, meeting $\mathrm{OB}$ at $\mathrm{Q}$.
Step 5. Then, $\mathrm{PQ}$ is the desired tangent, such that $\angle O Q P=30^{\circ}$.
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