What is the radius of a circle who equation (x+5)^2+(y-3)^2=4^2

Step-by-step explanation:

(

x

−

5

)

2

+

(

x

+

3

)

2

=

16

The center of the circle is  

(

5

,

−

3

)

the inverse of both  

h

and  

k

.

The radius is the  

√

16

which is  

r

=

4

.

Explanation:

The equation of the circle is

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Where the center of the circle is (-h,-k)

for the equation

(

x

−

5

)

2

+

(

x

+

3

)

2

=

16

Therefore, the center of the circle is  

(

5

,

−

3

)

the inverse of both  

h

and  

k

.

The radius is the  

√

16

which is  

r

=

4

.