Mathematics
Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the center of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.
Constructions
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Answer
Steps of Construction :
Draw a circle with center O and radius = = 4.5 cm.
Mark a point P outside the circle, such that OP = 7.5 cm.
Draw a perpendicular bisector of OP which intersects OP at M.
With center M and radius OM, draw a circle which intersects the circle with center O at A and B.
Join AP and BP. Measure AP and BP.
Hence, AP and BP are required tangents.
On measuring,
AP = BP = 6 cm.
Hence, length of each tangent = 6 cm.
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