Question

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