Advanced MathHardSide of a square inscribed in a circle of known area
Advanced Math practice question
A square is inscribed in a circle whose area is 18π square units. What is the side length of the square?
Answer: 6
Area πr² = 18π gives r² = 18, so the diameter squared is 4(18) = 72. The diameter is the square's diagonal, so s² + s² = 72 → s² = 36 → s = 6.
Common wrong answers
- If you answered 18
- 18 is r², not a length.
- If you answered 4.24
- 4.24 is √18, the radius.
- If you answered 8.49
- 8.49 is √72, the diagonal.
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