Question
Find the area of this region in the coordinate plane that satisfies both the inequalities:
π₯^2 + π¦^2 β€ 4 and π₯ + π¦ β 2 β₯ 0
A)2(πβ 1) B)2πβ1 C) 4(πβ2) D) 3π+2 E)none
π₯^2 + π¦^2 β€ 4 and π₯ + π¦ β 2 β₯ 0
A)2(πβ 1) B)2πβ1 C) 4(πβ2) D) 3π+2 E)none
Answers
Bot
of these
C) 4(πβ2)
C) 4(πβ2)
William
What good is it for the robot tutor just to state an answer, which btw is wrong
as is so often the case with the AI doing math ?
After making the sketch you should see that we want the segment of
the circle which lies totally in the first quadrant, and is above the line
x + y = 2
so we need (1/4) of the circle - the area of the triangle in quad I
= (1/4)Ο (2^2) = (1/2)(2)(2)
= Ο - 2
which is not the robot's answer, nor is it one of the given choices.
so E
as is so often the case with the AI doing math ?
After making the sketch you should see that we want the segment of
the circle which lies totally in the first quadrant, and is above the line
x + y = 2
so we need (1/4) of the circle - the area of the triangle in quad I
= (1/4)Ο (2^2) = (1/2)(2)(2)
= Ο - 2
which is not the robot's answer, nor is it one of the given choices.
so E