Question

Match each of the circle equations below with their center and radius.

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The center and radius of each circle.

Given:

Step 1

State the general circle formula.

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

where (h, k) is the center of the circle and r is the radius of the circle.

Step 2

Compare each equation to determine its center and radius.

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

The center is (4, -3) and radius = 3

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

The center is (4, 3) and radius is 4

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

The center is (-4, -3) and radius = 4

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

The center is ( -4, 3) and radius (r)=4

ANSWER

A. Center (4, -3) and r=4

B. Center (4, 3) and r=4

C. Center (-4, -3) and r=4

D. Center (-4, 3) and r=4