Problem: If an arc of 60β on circle I has the same length as an arc of 45β on circle II, the ratio of the area of circle I to that of circle II is:
Answer Choices:
A. 16:9
B. 9:16
C. 4:3
D. 3:4
E. none of these
Solution:
36060βΓ2Οr1β=36045βΓ2Οr2ββ΄r2βr1ββ=43ββ΄ Area (II) Area (I) β=(43β)2=169β