# Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre

Solution

Steps of construction
1.  Draw a circle at radius r = 4 cm at point O.
2.   Take a point P at a distance 6cm from point O and join PO
3.  Draw a perpendicular bisector of  line PO M is the mid-point of  PO.
4.   Taking M as centre draw another circle of radius equal to MO and it intersect the given circle at point Q and R

5.   Now, join PQ and PR.
Then PQ and PR one the required two tangents.

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