SOLUTION: What is the area of the region bounded by x^2 + y^2 = 1, x + y = 4, and the x and y axes? A. 4 - pi/2 B. Pi/8 C. 2 + pi/4 D. 8 - pi/4 Thank you!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: What is the area of the region bounded by x^2 + y^2 = 1, x + y = 4, and the x and y axes? A. 4 - pi/2 B. Pi/8 C. 2 + pi/4 D. 8 - pi/4 Thank you!      Log On


   

Question 1037503: What is the area of the region bounded by x^2 + y^2 = 1, x + y = 4, and the x and y axes?
A. 4 - pi/2
B. Pi/8
C. 2 + pi/4
D. 8 - pi/4
Thank you!
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

The area of the triangle is
A=expr%281%2F2%29%2Abase%2Aheight+-+expr%281%2F2%29%2A4%2A4+=+8
The area of the quarter circle, which is 1/4 of the
area of the unit circle = expr%281%2F4%29%2Api%2Ar%5E2=expr%281%2F4%29%2Api%2A1%5E2=expr%281%2F4%29pi
Subtracting the quarter circle's area from the triangle's
area:
8-pi%2F4
Edwin