Problem:
On circle O, points C and D are on the same side of diameter AB,β AOC=30β, and β DOB=45β. What is the ratio of the area of the smaller sector COD to the area of the circle? B
Answer Choices:
A. 92β
B. 41β
C. 185β
D. 247β
E. 103β
Solution:
The measure of β COD is 180ββ30ββ45β=105β. Therefore the ratio of the area of the sector to the area of the circle is 360105β=247ββ.
The problems on this page are the property of the MAA's American Mathematics Competitions