Question

Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.

Draw a circle of radius 3 cm from a point 7 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

Answer 1

Steps of Construction:

Step 1: Draw a circle with O as center and radius 3 cm.

Step 2: Mark a point P outside the circle such that OP = 7cm.

Step 3: Join OP. Draw the perpendicular bisector XY of OP. cutting OP at Q.

Step 4: Draw a circle with Q as center and radius PQ (or OQ), to intersect the given circle at the points T and T’.

Step 5: Join PT and PT.

Here, PT and PT’ are the required tangents.

PT = PT = 6.3cm(Approx)