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# Inequalities question

1. Can someone help me with this? I know how to draw all the graphs but I'm not sure how to actually calculate the area...
Calculate the exact area satisfied by the inequalities
x^2+y^2≥25
x ≤5
y ≤5
I HAVE THE ANSWER AND WORKINGS OUT BUT I DON'T UNDERSTAND WHERE THE NUMBERS COME FROM...
Any help would be much appreciated
5.37 TO 2DP
2. Graph them all and you get the image below.

The area that satisfies all the inequalities is the little square from 0-5 on the x axis and 0-5 on the y axis, minus that quarter of the circle.

To work out the area:
Square = 5 * 5 = 25
Circle = 1/4 * pi * 5^2
Square - Circle = 5.36504591506
To 2 d.p you get 5.37

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