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Counter-Strike: Source (2004)

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Draw a circle of radius \( 6 \mathrm{~cm} \). From a point \( 10 \mathrm{~cm} \) away from its centre, construct the pair of tangents to the circle and measure their lengths.
Ans: Steps of Construction:
(1) Draw a circle with centre \( O \) andradius \( =6 \mathrm{~cm} \).
(2) Take a point \( P \) such that \( O P=10 \mathrm{~cm} \)
(3) Draw the perpendicular bisector of \( O P \). let \( M \) is the mid-point of OP.
(4) With centre \( M \) and radius \( P M=M O, d r q w a \) Circle which cuts the given circle at \( S \) and \( T \)
(5) Join PS and PT.
Thus, PS and \( P T \) are the required tangents.
The length of tangents \( P S=P T=8 \mathrm{~cm} \).
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