Problem:
Circle has a radius of . Circle has a circumference of . Circle has an area of . List the circles in order from smallest to largest radius.
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Because circumference and circle has circumference , its radius is . Because area and circle has area , its radius is . Ordering the radii gives , so the circles in ascending order of radii length are and .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions