Question

Which of the following circles lie completely within the fourth quadrant? Check all that apply.

A.(x - 2)2 + (y + 7)2 =64
B.(x - 5)2 + (y + 5)2 = 9
C.(x - 9)2 + (y + 9)2 = 16
D.(x - 12)2 + (y + 0)2 = 72

Answer 1

Remember that the circle formula is (x – h)2 + (y – k)2 = r2 where h and k represents the center of the circle. We determine as follows:

A.(x - 2)2 + (y + 7)2 =64
 (h,k) = 2,-7 QUADRANT 4

B.(x - 5)2 + (y + 5)2 = 9
(h,k) = 5,-7 QUADRANT 4

C.(x - 9)2 + (y + 9)2 = 16
(h,k) = 9,-9 QUADRANT 4

D.(x - 12)2 + (y + 0)2 = 72
(h,k) = 12,0 QUADRANT 4