Question

Drag the correct answer to complete the questions below Center: ______ Radius:_______ (3,-4) (-3,4) 16 4 256 (4,-3) Part 2 part A identify the center and radius of the circle with equation (x+3) ^2+(y-4)^2=16

Answer 1

center: (-3, 4)

radius: 4

Step-by-step explanation:

The equation of a circle with radius r and center (h, k) is equal to

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

In this case, the given equation is

`(x+3)^2+(y-4)^2=16`

This equation can also be written as

`(x-(-3))^2+(y-4)^2=4^2`

Therefore, (h, k) = (-3, 4 and r = 4. It means that the answers are

center: (-3, 4)

radius: 4