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

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Solution

REF. Image.
$x^{2} + y^{2} = 4$
Points will be only for which $x^{2} + y^{2} \leq 4$
$(0, 0), (1, 0) (- 1, 0) (0, 1) (0, 1)$
$(1, 1) (1, - 1) (- 1, - 1) (- 1, 1), (2, 0), (0, - 2) (0, 2) (- 2, 0)$

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