You are Here: Home >< Maths

Inequalities question Watch

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

Updated: October 15, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

Stuck for things to do this summer?

Come and get some inspiration.

Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants