question_answer

Draw a circle of radius 4 cm. Draw two tangents to the circle inclined at an angle of \[60{}^\circ \] to each other.

Answer:

Steps of construction:

(i) Draw a circle with O as centre and radius \[4\text{ }cm\].

(ii) Draw any diameter AOB of this circle.

(iii) Construct \[\angle BOC=60{}^\circ \] such that radius OC meets the circle at C.

(iv) Draw \[AM\bot AB\] and \[CN\bot OC\].

Let AM and CN intersect each other at P

Then, PA and PC are the required tangents to the given circle and inclined at an angle of \[60{}^\circ \] to each other.