Question

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

Answer 1

$\texbf{ Step1: Draw a circle with O as centre and radius = 4cm.}$

[tex]\texbf{ Step2:Take a point A on circumference of the circle and join OA.Then OA = 4cm (radius). .}[/tex]

[tex]\texbf{ Step3:Construct angle AOB=120° such that B is on circumference of the circle (radius). }[/tex]

[tex]\texbf Step4:Draw OA perpendicular to RS and OB perpendicular to XY.  }[/tex]

[tex]\texbfStep5:let XY and RS intersect at P.Jjoin AP and BP.   }[/tex]

Hence AP and BP are the tangents inclined at 60°.

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