Question

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

Answer 1

Steps Of Construction:

i) Draw a circle with centre O and radius 3 cm.

ii) From O, take a point P such that OP = 5 cm

iii) Draw a bisector of OP which intersects OP at M.

iv) With centre M, and radius OM, draw a circle which intersects the given circle at A and B.

v) Join AP and BP.

AP and BP are the required tangents.

On measuring AP = BP = 4 cm