Mathematics
Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the center. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.
Constructions
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Answer
Steps of construction :
With O as center and radius = 3.5 cm draw a circle.
Take a point P such that OP = 6 cm.
Draw perpendicular bisector of OP, cutting 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 = 4.9 cm.
Hence, length of each tangent = 4.9 cm.

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