Question

Draw a circle with radius of 3.3 cm. Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.

Answer 1

Analysis:

Steps of construction:

1. With center O, draw a circle of radius 3.3 cm.
2. Draw a chord PQ of length 6.6 cm.
3. Draw rays OP and OQ.
4. Draw line `l` ⊥ ray OP at point P.
5. Draw line m ⊥ ray OQ at point Q.
   Lines `l` and m are the required tangents to the circle.
   Radius = 3.3 cm.
   ∴ Diameter = 2 × 3.3 = 6.6 cm.
   ∴ Chord PQ is the diameter of the circle.
   ∴ The tangents through points P and Q (endpoints of diameter) are parallel to each other.