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4.   Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

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Steps of construction:- 

(i) Draw a circle with a centre O and a radius 5 cm.

(ii) Now mark a point A on the circumference of the circle. Draw a line AP perpendicular to the radius OA.

(iii) Mark a point B on the circumference of the circle such that \angle AOB  =  120o.   (As we know, the angle at the centre is double that of the angle made by tangents).

(iv) Join B to point P.

(v) AP and BP are the required tangents.

Posted by

Devendra Khairwa

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