मराठी

Construct a pair of tangents to a circle of radius 4 cm, which are inclined to each other at an angle of 60°. - Mathematics

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प्रश्न

Construct a pair of tangents to a circle of radius 4 cm, which are inclined to each other at an angle of 60°.

आकृती

उत्तर

Steps of construction:

  1. Draw a circle with radius 4 cm with the centre as O.
  2. Take a point A on the circumference of the circle and join OA. 
  3. Draw a radius OB, making an angle of 120° (180° – 60°) with OA.
  4. Draw a perpendicular to OB at point B and perpendicular to OA at point A. Let both perpendiculars intersect at point P.
    PA and PB are the required tangents at an angle of 60°.
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