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Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent. - Mathematics

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Question

Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.

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Solution

 
Steps of construction:

  1. Draw a circle of diameter 9 cm, taking O as the centre.
  2. Mark a point P outside the circle, such that PO = 7.5 cm.
  3. Taking OP as the diameter, draw a circle such that it cuts the earlier circle at A and B.
  4. Join PA and PB.
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