Draw a circle with center C and radius 3.2 cm. Draw a tangent to the circle from point P at a distance of 7.5 cm from the center of the circle - Geometry

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Diagram

Draw a circle with center C and radius 3.2 cm. Draw a tangent to the circle from point P at a distance of 7.5 cm from the center of the circle

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Solution



Steps of construction:

  1. With centre C, draw a circle of radius 3.2 cm
  2. Take point P such that CP = 7.5 cm
  3. Draw the perpendicular bisector of seg CP. It intersects CP in point M.
  4. With M as centre and radius equal to CM, draw an arc intersecting the circle in points Q.
  5. Draw ray PQ.
    Ray PQ is the required tangent to the circle.
Concept: Construction of a Tangent to the Circle at a Point on the Circle
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