Question

A circle in the xy-plane has its center at the point (-6,1). If the point (7, 12) lies on the circle,

Answer 1

Answer:

radius ≈ 17.0 units

Step-by-step explanation:

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

Calculate the radius r using the distance formula

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

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (7, 12)

r = $\sqrt{(7+6)^2+(12-1)^2}$

  = $\sqrt{13^2+11^2}$

  = $\sqrt{169+121}$

   = $\sqrt{290}$ ≈ 17.0 ( to the nearest tenth )