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

Asked by Divya Bhadauria | 10th Dec, 2012, 06:23: PM

Expert Answer:

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°.

Answered by  | 11th Dec, 2012, 11:40: AM

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