Draw two tangents to a circle of radus 3.5 cm from a point P at a distance of 6.2 cm from its centre.

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Solution

Steps of construction:

1. Draw a circle with O as a center and a radius of 3.5 cm.
2. Mark a point P outside the circle such that OP = 6.2 cm
3. Join OP. Draw the perpendicular bisector XY of OP, cutting OP at Q.
4. Draw a circle with Q as the center and radius PQ( or OQ), to intersect the given circle at the points, T and T`.
5. Join PT and PT`.

Here, PT and PT` are the required tangents.

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