Question
Mon December 10, 2012 By: Divya Bhadauria
 

Draw a pair of tangents to a circle of radius 4cm which are inclined to eachother at 120 degree. Justify the construction.

Expert Reply
Tue December 11, 2012

Following the given steps in order to construct the tangents.

Step 1 : Draw a circle of radius 4 cm and centre O.

Step 2 : Take a point A on the circle. Join OA.

Step 3 : Draw a perpendicular to OA at A.

Step 4 : Draw a radius OB, making an angle of 60° (120° – 60°) with OA.

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

PA and PB are the required tangents inclined at angle of 120°.

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