Question

Draw a circle of radius 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.

Answer 1

Step of Construction:
Step: I - First of all, we draw a circle of radius AB = 4 cm.

Step: II - Mark a point P from the centre at a distance of 6 cm from the point O. 

Step: III - Draw a perpendicular bisector of OP, intersecting OP at Q.

Step: IV - Taking Q as centre and radius OQ = PQ, draw a circle to intersect the given circle at T and T’.

Step: V - Join PT and PT’ to obtain the required tangents.

Thus, PT and PT' are the required tangents.
The length of PT = PT' ≈ 4.5 cm