Question

Find the area of this region in the coordinate plane that satisfies both the inequalities:
π‘₯^2 + 𝑦^2 ≀ 4 and π‘₯ + 𝑦 βˆ’ 2 β‰₯ 0
A)2(πœ‹β€“ 1) B)2πœ‹βˆ’1 C) 4(πœ‹βˆ’2) D) 3πœ‹+2 E)none

Answers

Bot
of these

C) 4(πœ‹βˆ’2)
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

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