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Sum

Draw a circle of radius 3.5 cm. mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.

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#### Solution

Steps of Construction:

i) Draw a line segment OP = 6 cm

ii) With centre O and radius 3.5 cm, draw a circle

iii) Draw the midpoint of OP

iv) With centre M and diameter OP, draw a circle which intersect the circle at T and S

v) Join PT and PS.

PT and PS are the required tangents. On measuring the length of PT = PS = 4.8 cm

Concept: Construction of Tangents to a Circle

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