Question

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

Answer 1

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