Step1: Draw a circle of radius 2 cm with centre O by taking 2 cm in compass. This is the inner circle
Step2: Now take 4 cm in compass keep the needle on point O and draw a circle. This is the outer circle. Take any point P on the outer circle
Now we have to draw a tangent from point P to the inner circle. This is the same as drawing tangents to circle from an external point.
Step4: Join OP and using scale mark the midpoint of OP which will lie on the inner circle
Step5: Take the distance MO in compass keep the needle on point M and mark arcs cutting the inner circle at point Q and T as shown
Step6: Construct a line passing through PQ and PT which are the required tangents
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