Processing Math: Done

From Förberedande kurs i matematik 1

A circle is defined as all the points which have a fixed distance to the circle's midpoint. Hence, a point (x,y) lies on our circle if and only if its distance to the point (1,3) is exactly 2. Using the distance formula, we can express this condition as

(x−1)2+(y−2)2=2.

After squaring, we obtain the equation of the circle in standard form,

(x−1)2+(y−2)2=4.