# 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?

n =  12

### Step-by-step explanation:

The equation has the following integer solutions:
x^2 + y^2 = 25

Number of solutions found: 12
##### 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

Calculated by our Diofant problems and integer equations. Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?