Draw a circle with radius 4cm. Mark a point on it. Draw a tangent at P to the circle.
Step1: Take distance 4 cm in compass and draw a circle with centre O

Step2: Take a point P on the circle and draw a line segment OA passing through P as shown

Step3: take any distance in compass keep the needle of the compass on point P and mark arcs to the left and right of P intersecting OA at J and K respectively

Step4: Take any distance in compass greater than JP, keep the needle on point J and mark arcs above and below OA.

Step6: Keeping the distance in the compass same as in step4, keep the needle on point K and mark arcs intersecting the arcs drawn in step4 at points R and T. Draw a line passing through R and T which is the tangent to circle at point P

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