Circle

Question

Circle

zepdrix · Answer

Square

zepdrix · Answer

Wait, what game are we playing?

anonymous · Answer

i have internet prob , wait i am typing

kainui · Answer

http://openstudy.com/study#/updates/52fc7e9ee4b05fa976fe8f2d

zepdrix · Answer

Ah i remember that :) was fun

anonymous · Answer

Find the number of integral points which lie on or inside the circle 
$$\huge x^2 +y^2 = 4 $$

anonymous · Answer

just drop a hint if possible maybe i could solve it on my own

kainui · Answer

Have you heard of pythagorean triples?

zepdrix · Answer

Mmmm maybe this is a stupid question...
what are integral points?

A point in which both coordinates are integers?

kainui · Answer

I guess I had just assumed that integral points were just points that were integers like (1,-1) but honestly I don't know now that you mention it @zepdrix 

I would probably just graph the circle on paper and check all the points inside. I guess "pythagorean triples" don't matter since we don't need the hypotenuse to be integers as well... Or do we?

zepdrix · Answer

|dw:1414479867299:dw|Hopefully this doesn't spoil too much of the fun for you.
If you find the point in just one quadrant, it might help you to get started.