Question

Give the center and radius of the circle (x + 2)2 + (y - 4)2 =36

A. Center: (2,4)
Radius: 6
B. Center: (-2,4)
Radius: 6
C. Center: (-2,4)
Radius: 36
D. Center: (2,-4)
Radius: 36

Answer 1

B. Center: (-2, 4)

Radius: 6

Explanation:

The equation of a circle:

`(y-h)^2+(y-k)^2=r^2`

Where

`(h,\ k)` - center

`r` - radius

We have the equation

`(x+2)^2+(y-4)^2=36\\\\\bigg(x-(-2)\bigg)^2+(y-4)^2=6^2`

Therefore

the center is (-2, 4)

the radius is 6