He points (-9,-4) and (3,6) are the endpoints of the diameter of a circle. find the length of the radius of the circle.

First end point of the diameter of a circle = (-9,-4).

Second end point of the diameter of a circle = (3,6).

Let us find length of the of the diameter of the circle by using distance formula.

We know distance formula,

We have (x1, y1) =  (-9,-4) and (x2,y2) = (3,6).

Plugging values of x1,y1, x2 and y2 in above distance formula.

=

Factoring out heighest perfect square from 244.

244= 4* 61.

Square root of 4 is 2.

Therefore, diameter of the circle =

Radius is half of diameter.

So, dividing value of diameter by 2, we get

Radius =

50

step-by-step explanation: