Question

Draw a pair of tangents of radius 3cm that are inclined to each other at an angle of 50 degrees

Answer 1

The tangents can be constructed in the following manner:

Step 1

Draw a circle of radius 3 cm and with centre as O.

Step 2

Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A.

Step 3

Draw a radius OB, making an angle of 130° (180° − 50°) with OA.

Step 4

Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P. PA and PB are the required tangents at an angle of 50°.