Advanced MathMediumRadius at which a circle's area equals its circumference numerically
Advanced Math practice question
For what positive value of r is the area of a circle with radius r numerically equal to its circumference?
Answer: 2
πr² = 2πr → r² = 2r → r = 2 (since r > 0).
Common wrong answers
- If you answered 0
- 0 satisfies r² = 2r but is not a positive radius.
- If you answered 1
- 1 gives area π and circumference 2π.
- If you answered 4
- 4 gives area 16π and circumference 8π.
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