6.0k views
24 votes
1 point
What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

User Linski
by
3.9k points

1 Answer

10 votes

Explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

x

4

)

2

+

y

2

=

4

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

=

2

h

=

4

k

=

0

The center of the circle is found at

(

h

,

k

)

.

Center:

(

4

User Steffan
by
3.5k points