Write the equation of a circle givin by (x-3) ^2 + (y+7) ^2=4

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