Circle length center

Calculate the circle's length and determine the coordinates of the center of the circle when given its diameter XY, X / -3.2 / and Y / -3, -4 /.

Final Answer:

x =  -3
y =  -1
o =  18.8496

Step-by-step explanation:

$$\begin{gathered} X=(-3,2) \\ Y=(-3,-4) \\ x=(X_x+Y_x)/2=((-3)+(-3))/2=-3 \end{gathered}$$

$y=(X_y+Y_y)/2=(2+(-4))/2=-1$

$$\begin{gathered} r=\sqrt{(x-X_x{)}^2+(y-Y_y{)}^2}=\sqrt{((-3)-(-3){)}^2+((-1)-(-4){)}^2}=3 \\ o=2\pi \cdot r=2\cdot 3.1416\cdot 3=18.8496 \end{gathered}$$

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