The diameter of a circle has the endpoints of (2,5) and (-8, 29). Find the center and radius of the circle.

A) Center: (5,12)
Radius: 13
B) Center: (-5,17)
Radius: 26
C) Center: (-3,17)
Radius: 612
D) Center: (-3,17)
Radius: 13

Correct D) Center: (-3, 17), Radius: 13

Step-by-step explanation:

Given the diameter of a circle with endpoints: (2, 5) (-8, 29):

Let = (2, 5)

= (-8, 29)

To find the center of the circle, we can use the Midpoint formula:

Therefore, the center of the circle is (-3, 17).

We can use the distance formula to find the actual distance between these endpoints, and to help determine the radius of the circle.

The distance formula is:

Therefore, the diamater of the circle is 26, which means that the radius is 13.

mxb67

step-by-step explanation:

nada

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