Question

A circle passes through the point (2,2) and has its center at (1,-3). The radius of the circle is _ units.

Answer 1

Answer:

radius = $\sqrt{26}$ units

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Using the distance formula to calculate r

r = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (1, - 3)

r = $\sqrt{(1-2)^2+(-3-2)^2}$

  = $\sqrt{(-1)^2+(-5)^2}$

   = $\sqrt{1+25}$

    = $\sqrt{26}$