Question

Draw a circle of radius $3.5cm$. Take any point $K$ on it. Draw a tangent to the circle at $K$ without using centre of the circle.

Answer 1

Steps of Construction:
(i) Draw a circle of radius $3.5$ cm.
(ii) Take any point $K$ on it.
(iii) Draw a chord $KO$.
(iv) Take any point $A$ on the bigger arc formed by $K$ and $O$.
(v) Join $OA$ and $KA$.
(vi) Draw a ray $KP$ making an angle equal to $\angle OAX$ and $OK$ as one side and vertex $K$.

Thus the required tangent can be drawn.