Question

3. Draw a circle of diameter 5cm. From a point 5cm away from the circle, construct the pair of tangents to the
circle.​

Answer 1

Answer:

Steps of construction:

1. Open up the compass to a length of 2.5 cm (Diameter = 5 cm,⇒ r= 2.5 cm ) and draw a circle with centre O.
2. Take a point P outside the circle such that OP= 5cm
3. Join OP.
4. Draw the perpendicular bisector of OP.
5. Mark the mid- point as M.
6. Open up the compass of length OM and draw a circle to intersect the previous circle at A and B respectively.
7. Join PA and PB.
8. PA and PB are the required tangents.

Explanation:

I have made the construction using an online construction tool.

P.F.A the construction below for reference.

Hope you got that.

Thank You.