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1) draw the circle with a radius r and the center at O.

2) mark a point, A, on the circle

3) draw a line from O to A and beyond to point B, a little longer than the radius

4) draw a perpendicular bisector at point A using line OB

5) the perpendicular bisector is the tangent at point A

In case, you forgot about drawing the perpendicular bisector. Here is the procedure:

a) use your compass and mark equidistant points C and D from point A on line OB (make the length slightly less than half the radius); one point should be outside the circle and the other within.

b) use your compass and draw an arc from point C and then from point D, with the arc radii being identical and about as long as the circle radius; the two arcs should intercept at two locations, E and F, one on each side of line OA.

c) join points E and F to form the perpendicular bisector of line CD

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Q: Construct a circle with a radius r. mark a point on the circle. construct a tangent thourgh this point.?
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