MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry
The diameter of the circumcircle of a triangle is 8 cm. What is the radius of its nine point circle, in cm?
Think it through first, then pick an option.
- a 2
- b 4
- c 8
- d 16
Answer and explanation
Correct answer: a 2
R = 8/2 = 4 and the nine-point radius is R/2 = 2 cm.
Why the other options are wrong
- b 4: 4 is the circumradius R; the nine-point radius is half of it.
- c 8: 8 is the diameter of the circumcircle itself.
- d 16: 16 = 2 × 8 doubles the diameter; the nine-point radius is half the circumradius, R/2 = 2.
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