Answer:8
Step-by-step explanation:(
x
+
4
)
2
+
(
y
−
7
)
2
=
64
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
8
h
=
−
4
k
=
7
The center of the circle is found at
(
h
,
k
)
.
Center:
(
−
4
,
7
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
−
4
,
7
)
Radius:
8
