Question

Draw a circle with center C and radius 3.2 cm. Draw a tangent to the circle from point P at a distance of 7.5 cm from the center of the circle.

Answer 1

Steps of construction:

1. With center C, draw a circle of radius 3.2 cm.
2. Take point P such that CP = 7.5 cm.
3. Draw the perpendicular bisector of seg CP. It intersects CP in point M.
4. With M as centre and radius equal to CM, draw an arc intersecting the circle in points Q.
5. Draw ray PQ.
   Ray PQ is the required tangent to the circle.