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Length of a chord PQ of a circle with centre O is 4 cm. If the distance of PQ from the point O is 2 cm, then the length of the diameter is:
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- 2√2 cm.
- 3√2 cm.
- 5√2 cm.
- 4√2 cm.
- 2√2 cm.
Correct Option: D
According to question , we draw a figure of a circle with centre O , 
OR ⊥ PQ
| ∴ PR = RQ = | = 2 cm. | |
| 2 |
OR = 2 cm
In ∆ OPR,
OP = √PR² + RO²
OP = √2² + 2² = √4 + 4
OP = √8 = 2√2 cm
∴ Diameter = 2OP = 2 × 2√2 = 4√2 cm
