Answer:
Center of circle = (-4,6)
Radius = 6.9
Step-by-step explanation:
Formula of a circle:
[tex]{(x - a)}^{2} + {(y - b)}^{2} = {c}^{2} [/tex]
Center of circle = (a, b)
Radius= c
Your question is:
[tex] {(x + 4)}^{2} + {(y - 6)}^{2} = 48[/tex]
a= - 4 because - (-4) will only equal to 4
b= 6 because - (6) will only equal to - 6
If (a, b) is the center of the circle, thus (-4,6) is the center of the circle.
To find the radius.
If c = radius.
[tex] {c}^{2} = 48 \\ c = \sqrt{48} \\ c = 4 \sqrt{3} [/tex]
[tex]4 \sqrt{3} = 6.92820323[/tex]
Note: Please use a calculator when finding the radius.
Thus to the nearest tenth
c= 6.9
Thus the radius is 6.9
