Question

Draw a pair of tangents to a circle of radius $5cm$ which are inclined to each other at an angle of ${60}^{\circ }$, give steps of construction.

Answer 1

Steps:

a) Draw a circle of radius $5cm$ and whose centre is at $O$

b) Select a point $B$ on the circle and Draw $OB$

c) From $OB$, draw an $\angle BOC$ equal to $60+60=120$ degrees as given that the pair of tangents inclined at angle of $\angle {60}^{\circ }$

d) Select an external point $A$.

e) Draw $AC$ perpendicular to $OC$

f) Draw $AB$ perpendicular to $OB$

Required tangents are $AB$ and $AC$.