Points on circle

In the Cartesian coordinate system with the origin O is a sketched circle k /O; r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points that lie on the circle I / O; r=5 cm / and whose coordinates are integers. How many points is it?

Result

n =  12

Solution:  The equation has the following integer solutions:
x^2 + y^2 = 25
x1=-5, y1=0x2=-4, y2=-3x3=-4, y3=3x4=-3, y4=-4x5=-3, y5=4x6=0, y6=-5x7=0, y7=5x8=3, y8=-4x9=3, y9=4x10=4, y10=-3x11=4, y11=3x12=5, y12=0

Number of solutions found: 12

Calculated by our Diofant problems and integer equations.

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