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

Question

Philoid · Accepted Answer

Construction:

1) Draw a circle of radius 4.5 cm with centre O.

2) Take a point A on the circle. Join OA.

3) Draw a perpendicular to OA at A.

4) Draw a radius OB, making an angle of 135° (180° – 45°) with OA.

5) Draw a perpendicular to OB at point B. Let these perpendiculars intersect at P.

6) PA and PB are the required tangents inclined at angle of 45°.