Question:

Construct a tangent to a circle with centre P and radius 3.2 cm at any point M on it.

Answer:

Rough figure is shown below.

We use the property that a line perpendicular to the radius at its outer end is a tangent to the circle.
Construction Steps:
1.Draw a circle of radius 3.2 cm with centre P. Take any point M on the circle.
2. Draw ray PM.
3. Draw line l perpendicular to ray PM through point M.
4. Line l is the required tangent to the circle at point ‘M’.

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