Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 45°.

Constructions steps


1. Draw a line segment AB.


2. Take any point O on AB.


3. Draw a right angle at O and mark a length of 4.5 cm on that right angle as Q. OQ is the radius of the circle.


4. Extend OQ. Mark a semicircle of any radius with Q as its center such that it cuts the extended OQ in P and R.


5. With center as P and radius equal to radius of semicircle drawn, cut an arc on semicircle.


Similarly, do it from the new arc drawn.


Repeat the procedure from the 2 new arcs. Draw a line for 900.


Similarly do it for the angle between the right angle just obtained and extended OQ.


This angle will give 1350.


Mark 4.5 cm on this angle. This gives QT.


Now, draw a perpendicular for QT and let it meet AB in Z.


Draw a circle with Q as center and OQ as radius.



4