Question

Draw a circle of radius 3.6 cm, take a point M on it. Draw a tangent ot the circle at M without using centre of the circle.

Answer 1

Steps of construction:
1. Draw a circle of radius 3.6 cm and centre O.
2. Take a point M on the circle.
3. Draw the chord MK of any length.
4. Take any point P on the alternate arc of KXM other than K and M.
5. Join MP and KP. So, $\angle \mathrm{KPM}$ is formed.
6. Draw ray MT making an angle equal to $\angle \mathrm{KPM}$ using KM as one side and vertex M.
7. The line l containing ray MT is the required tangent.