Q23 of 28 Page 12

Draw a circle of radius 3cm. Take two points P and Q on one of its extended diameter each at a distance of 7cm from its centre. Draw tangents to the circle from these two points P and Q.

Step1: Take 3 cm in compass and draw a circle with centre O



Step2: Draw a straight line passing through the centre and mark points P and Q on both sides of O at 7 cm each.



Step3: Using scale mark the midpoint of OP as M. Keep the needle on M take distance MO in compass and mark arcs intersecting the circle at point Q and T as shown



Step4: Join points PT and PQ thus PT and PQ are required tangents from point P



Step5: Similarly repeat steps step3 and step4 for tangents from point Q. Take midpoint as N then centre as N and radius NO cut arcs on the circle at K, and L. QK and QL will be the required tangents from point Q



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