Problem: Find the area of the smallest region bounded by the graphs of y=β£xβ£ and x2+y2=4.
Answer Choices:
A. 4Οβ
B. 43Οβ
C. Ο
D. 23Οβ
E. 2Ο
Solution:
The area of the smallest region bounded by y=β£xβ£ and x2+ y2=4 is shown in the adjoining figure. Its areat is
41β(Ο22)=Ο