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Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.

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Question

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.

Diagram
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Solution


Steps of construction:

  1. Draw a circle with centre O and radius BA = 5 cm.
  2. Draw arcs making an angle of 180° – 45° = 135° at O such that ∠COB = 135°.
  3. At C and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
  4. CP and BP are the required tangents which make an angle of 45° with each other at P.
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Chapter 19: Constructions (Circles) - EXERCISE 19 [Page 299]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 19 Constructions (Circles)
EXERCISE 19 | Q 3. | Page 299

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