construct circles with radius 2cm
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Construct 2 circles centred at O and O
′
at a distance of 8 cm.
Circle O has radius 2 cm. O
′
has radius 4 cm.
Make another circle with radius 2+4=6 cm centred on the bigger circle.
Make a semicircle with O and O' being two end points of diameter. Let it cut the largest circle at N.
Join O
′
N and make a line parallel to O
′
N passing through O. Let it cut the circle at B.
Name the point where O
′
N cuts the 4cm circle as B.
AB is the required tangent.
On measuring, it comes out to be 5.3 cm
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