high School⏱ 3 min

Circle Equation

(x-a)²+(y-b)²=r²

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-4-4-3-3-2-2-1-10011223344(1,-0.5)r=2
h (stred x) = 1
k (stred y) = -0.5
r = 2
(x−1)2+(y−(−0.5))2=22=4(x-1)^2+(y-(-0.5))^2=2^2=4

The circle equation (x-h)²+(y-k)²=r² says: every point (x,y) is at distance r from center (h,k). It's the Pythagorean theorem in disguise.