MCQ practice · SSC General Mathematics Board questions · Chapter 8: Circle
What is the circumradius of the triangle with sides 9 cm, 12 cm and 15 cm?
Think it through first, then pick an option.
- a 4.5
- b 6
- c 7.5
- d 15
Answer and explanation
Correct answer: c 7.5
9² + 12² = 15², a right triangle; the hypotenuse 15 is a diameter, so the radius is 7.5.
Why the other options are wrong
- a 4.5: 4.5 is half the shortest side; the circumradius is half the hypotenuse.
- b 6: 6 is half the middle side; the hypotenuse is 15, so the radius is half of that.
- d 15: 15 is the hypotenuse, the diameter; the radius is half of it.
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