Points on a circle

[Linda]

How do you find 8 points with integer coordinates that are all at a distance 5 from (0,0)? Is there a formula or do you just draw a circle and figure out the coordinates?

Thanks
Linda

 

[Deleted member 4993]

How do you find 8 points with integer coordinates that are all at a distance 5 from (0,0)? Is there a formula or do you just draw a circle and figure out the coordinates?

Thanks
Linda

Think of a circle of radius 5 and Pythagoras Theorem.

What are your thoughts?

If you are stuck at the beginning tell us and we'll start with the definitions.

Please share your work with us ... even if you know it is wrong

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[pka]

How do you find 8 points with integer coordinates that are all at a distance 5 from (0,0)? Is there a formula or do you just draw a circle and figure out the coordinates?

If \(\displaystyle a^2+b^2=25\) that is, the pair \(\displaystyle (a,b)\) satisfies \(\displaystyle x^2+y^2=25\) then does the pair \(\displaystyle (b,a)~?\).
Does each of \(\displaystyle (-a,b),~(a,-b),~(-a,-b)\) also work?

If you can find other pairs that also work then post the results.
If you cannot then you need sit-down help with your teacher.