Geometry and TrigonometryMediumRatio of the areas of two circles
Geometry and Trigonometry practice question
Two circles have radii of 3 and 4. What is the ratio of the area of the smaller circle to the area of the larger circle?
Answer: 9/16
Areas scale with the square of the radius: 3² to 4² is 9 to 16.
Common wrong answers
- If you answered 3/4
- 3/4 is the ratio of the radii, not the areas.
- If you answered 6/8
- 6/8 is the ratio of the diameters, again not the areas.
- If you answered 16/9
- 16/9 inverts the ratio.
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