Acircle with center d(0, -6) passes through the point c(5, -1). use the pythagorean theorem to find the length of the circle’s radius, .
=

Length of radius =

Step-by-step explanation:

The radius of the circle is the distance between the center and the point on the circle given.

The distance formula is  

Where

x_1 = 0

y_1 = -6

and

x_2 = 5

y_2 = -1

plugging these into the formula we get:

The radius of circle = 5√2 units

Step-by-step explanation:

Points remember

Distance formula:-

Let (x₁, y₁) and (x₂, y₂) be the two points, then the distance between these two points is given by

Distance = √[(x₂ - x₁)² + (y - y₁)²]

It is given that, center of circle (0, -6) and passes through (5, -1)

To find the radius of circle

Here (x₁, y₁) = (0, -6) and (x₂, y₂) = (5, -1)

Radius r = √[(x₂ - x₁)² + (y - y₁)²]

  = √[(5 - 0)² + (-1 - -6)²]

  = √(5² + 5²) = √(25 + 25) = √50 = 5√2 units

Therefore radius of circle = 5√2 units

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