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.

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)