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 )

stethere all not eveanp-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: