Construct a tangent to a circle at a given point when the centre of the circle is known.

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Solution

Step 1: Draw a circle with a certain radius and mark the centre as point O. Also, consider a point, which lies on the same circle and name it as P. Join OP.
Step 2: Through the point P, draw a perpendicular line and name it as XY.
Step 3: In our construction, XY is the required tangent to the given circle passing through P.

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