Question:
Construct two tangents PT and PQ to a circle of radius 4cm and centre O such that angle TOQ=120°
Answer:
Given, radius of the circle = 4 cm
Steps of Construction:
1. Draw a circle of radius 4 cm having center O
2. Now, take a point on the circle and join OT.
3. Draw a perpendicular to OT at T.
4. Now, draw a radius OQ, making an angle of 120 (180 - 60) with OT.
5. Draw a perpendicular to OQ at Q. Let these perpendiculars intersect at P.
Now, PT and PQ are the required tangents inclined at angle 60
The figure is given below:
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