Geometry and TrigonometryEasy–MediumDiameter from area
Geometry and Trigonometry practice question
A circle has an area of 49π. What is the length of its diameter?
Answer: 14
πr² = 49π gives r² = 49, so r = 7. The diameter is 2r = 14.
Common wrong answers
- If you answered 7
- 7 is the radius. The diameter is twice the radius.
- If you answered 49
- 49 is r², not a length.
- If you answered 98
- 98 is 2 × 49, doubling r² instead of r.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
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
What is the area, in square centimeters, of the trapezoid?
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