Krishna
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Step 1: Find the center of the circle if it has not been given to you


Step 2: Connect the out side point with the centre of the circle.

              

Step 3:  Bisect the line connected between the centre and out side point.

              


Step 4: Construct a circle with radius of bi-sectional length (bisector to centre or bisector to out side point)

                  

Step 5: Identify the inter sectional points of circle with the original circle at surface.

        

Step 6: Connect the given point outside the circle to the points on the circle with the straight line.