Question

Construct a tangent to a circle of radius $4$ cm from a point on the concentric circle of radius $6$ cm.

Answer 1

Steps of construction:

1. Draw two concentric circles with radii $4$ cm and $6$ cm.
   
2. Draw the radius $OP$ of the bigger circle.
   
3. Make a perpendicular bisector of $OP$ which intersects $OP$ at point $O^{\prime }$.
   
4. Taking $O^{\prime }P$ as radius, draw another circle.
   
5. From point $P$, draw tangents $PQ$ and $PR$; as shown in the figure