Find the length of the radius of a circle whose center is at (12, 5 ), and one point on the circle is ( -6, -18 ). round to the nearest hundredth of the units.

The answer is:

The radius of the circle is 29.21 units.

To solve the problem, we need to remember that the radius of a circle is the distance from its center to any point of the circle.

We can use the following equation to calculate the distance between the center and the given point:

So, we are given the information:

Where,

Now, substituting and calculating, we have:

Hence, we have that the radius of the circle is 29.21 units.

Have a nice day!

AB =  29.23

Step-by-step explanation:

Points to remember

Distance formula

Distance between two points (x₁, y₁) and (x₂, y₂) is given by

Distance = √[(x₂- x₁)² + (y₂ - y₁)²]

To find the radius

Center = (12, 5) and point on the circle = (-6, -18)

Radius = √[(x₂- x₁)² + (y₂ - y₁)²]

  =  √[(12 - - 6)² + (5 -  -18)²]

  = √[(12 + 6)² + (5 +18)²]

  =√[18² + 23²] = √[324 +529 ]  =  29.23

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}