Geometry and TrigonometryEasy–MediumCircumference of a circle
Geometry and Trigonometry practice question
A circle has a radius of 5. What is its circumference? (Use C = 2πr.)
- A. 5π
- B. 10πCorrect
- C. 25π
- D. 50π
Answer: B. 10π
C = 2πr = 2π(5) = 10π. Choice C (25π) is the area πr² — keep the two circle formulas straight.
Why the other answers are wrong
- A. 5π
- 5π is πr — you dropped the factor of 2 in C = 2πr, giving 10π.
- C. 25π
- 25π is the area, πr². Circumference uses C = 2πr = 10π.
- D. 50π
- 50π comes from squaring the radius inside the circumference formula: 2π(25). In C = 2πr the radius is not squared, so it's 2π(5) = 10π.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
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What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
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What is the value of cos A?
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