Question

Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.

Answer 1

Steps of construction:

1. Draw a circle with a radius of 4.1 cm and a centre of 0.
2. Take a point P on the circle's rim such that OP = 7.3 cm.
3. Draw the OP section. To get the midpoint M of segment OP, draw a perpendicular bisector.
4. Make a circle with the radius OM and the centre M.
5. A and B are the points of intersection of the two circles.
6. Join PA and PB.

As a result, PA and PB are needed tangents.