Question

Draw a circle with a diameter AB of length 6 cm. Draw a tangent to the circle from the end points of the diameter.

Answer 1

Analysis:

Diameter = 6 cm

∴ Radius = 3 cm

`{:("seg OA" ⊥ "line"  l),("seg OB" ⊥ "line m"):}}`  ......[Tangent is perpendicular to radius]

The perpendicular to seg OA and seg OB at points A and B respectively will give the required tangents at A and B.

Steps of construction:

1. With center O, draw a circle of radius 3 cm.
2. Draw a chord AB of length 6 cm.
3. Draw rays OA and OB.
4. Draw line l ⊥ ray OA at point A.
5. Draw line m ⊥ ray OB at point B.
   Lines l and m are the required tangents to the circle.