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

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Draw a line segment PQ of 14 cm.

Step 2: Take the midpoint O of PQ.

Step 3: Draw the perpendicular bisectors of PO and OQ which intersects at points R and S.

Step 4: With center R and radius RP draw a circle.

Step 5: With center S and radius, SQ draw a circle.

Step 6: With center O and radius 3 cm draw another circle which intersects the previous circles at the points A, B, C, and D.

Step 7: Join PA, PB, QC, and QD.

So, PA, PB, QC, and QD are the required tangents.