Geometry and TrigonometryEasy–MediumComparing circumferences
Geometry and Trigonometry practice question
Circle P has a radius of 3 and circle Q has a radius of 6. Which statement is true?
- A. Q's circumference is 2 times P's, and Q's area is 4 times P's.Correct
- B. Q's circumference is 4 times P's, and Q's area is 2 times P's.
- C. Q's circumference and area are both 2 times P's.
- D. Q's circumference and area are both 4 times P's.
Answer: A. Q's circumference is 2 times P's, and Q's area is 4 times P's.
Circumference scales with r (×2); area scales with r² (×4).
Why the other answers are wrong
- B. Q's circumference is 4 times P's, and Q's area is 2 times P's.
- Swapped.
- C. Q's circumference and area are both 2 times P's.
- Area scales with the square of the radius.
- D. Q's circumference and area are both 4 times P's.
- Circumference scales with the radius, not its square.
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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