Question

Drawn a circle of radius 5 cm. From a point P, 8 cm away from it centre, construct a pair of tangents of the circle. Measure the length of each tangent.

Answer 1

Steps of Construction :

Step 1. Draw a circle with O as centre and radius 5 cm.
Step 2 . Mark a point P outside the circle, such that OP = 8 cm.
Step 3. Join OP and bisect it at M.
Step 4. Draw a circle with M as centre and radius equal to MP to intersect the given circle at points T and T^'.
Step 5. Join PT and P T^'.



Thus, PT and P T^'are the required tangents, measuring 6.2 cm each.