MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry
The side of an equilateral triangle is 9 cm. What is the diameter of its circumcircle?
Think it through first, then pick an option.
- a 3 cm
- b 3√3 cm
- c 6√3 cm
- d 9√3 cm
Answer and explanation
Correct answer: c 6√3 cm
R = a/√3 = 9/√3 = 3√3, so the diameter is 2R = 6√3 cm.
Why the other options are wrong
- a 3 cm: 3 is a third of the side; not the diameter.
- b 3√3 cm: 3√3 is the circumradius R = 9/√3; the diameter is twice that.
- d 9√3 cm: 9√3 is larger than the side 9 by too much; the diameter is 6√3.
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