Question

Circle P has a radius of 8 units with center P at (2, -1). Which equation defines circle P?

(x + 2)2 + (y – 1)2 = 64

(x – 2)2 + (y + 1)2 = 64

(x – 2)2 + (y + 1)2 = 8

(x + 2)2 + (y – 1)2 = 8

Answer 1

(x-2)2+(y+1)2=64

Answer 2

The equation of a circle is (x - h)2 + (y - k)2 = r2 where (h, k) represents the circle's center and r represents the circle's radius.

Answer 3

Since -1 is negative though you will change the negative to a positive sign

Answer 4

a circle centered at the origin with a given radius (r) can be equated as:

x^2 + y^2 = r^2

when we want to move this about, we introduce soem extra parts to be able to adjust this with.

(x-cx)^2 + (y-cy)^2 = r^2

where (cx,cy) is the center of the circle