SOLUTION: Determine the radius of the circle.(-11,6) Is the circumference of the circle and (-5,2) is the center of the circle. Could you please write the standard equations for this.

Question 970532: Determine the radius of the circle.(-11,6) Is the circumference of the circle and (-5,2) is the center of the circle. Could you please write the standard equations for this.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Determine the radius of the circle.
(,) Is the circumference of the circle => (,) could be only one point on the circle
if (,) is the center of the circle and and (,) one point on the circle, then radius is the distance () between the center and the point
use distance formula to find the radius:

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-11, 6), we can say (x1, y1) = (-11, 6)
So ,

Since the second point is (-5, 2), we can also say (x2, y2) = (-5, 2)
So ,

Put this all together to get: , , , and

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Now use the distance formula to find the distance between the two points (-11, 6) and (-5, 2)

Plug in , , , and

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Answer:

The distance between the two points (-11, 6) and (-5, 2) is exactly units

The approximate distance between the two points is about 7.21110255092798 units

So again,

Exact Distance: units

Approximate Distance: units

so, in formula for a circle we need radius squared and it is
then, from the coordinates of the center we know that and and your standard formula is:

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