A circle in the xy-plane has its center at the point (-6,1). If the point (7, 12) lies on the circle, what is the radius of the circle? Round the answer to the nearest tenth.

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 =

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

r =

  =

  =

   = ≈ 17.0 ( to the nearest tenth )

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step-by-step explanation: