Mathematics
Use ruler and compass only for answering this question.
Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P. Measure and write down the length of any one tangent.
Answer
Steps of construction :
Construct a circle with centre as O and radius = 4 cm.
Mark a point P at a distance of 7 cm from the centre. Join OP. Draw its perpendicular bisector to meet OP at M.
With M as centre and OM (or MP) as radius, draw a circle. Let this circle intersect the given circle with centre as O at points A and B.
Join PA and PB.
Thus, PA and PB are tangents to the circle with centre O. On measuring, the length of tangent = 5.7 cm.
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