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Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60°.

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Question

Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60°.  

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Solution

 
Steps of construction:

  1. Draw a circle with centre O and radius BC = 4.5 cm.
  2. Draw arcs making an angle of 180° – 60° = 120° at O such that ∠AOB = 120°.
  3. At A and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
  4. AP and BP are the required tangents which make an angle of 60º with each other at P.
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