A circle is centered at (5, - 9) and has a radius of 12. Which of the following is the equation for this circle?

A: (x - 5) 2 + (y + 9) 2 = 12

B: (x - 5) 2 + (y + 9) 2 = 144

C: (x + 5) 2 + (y - 9) 2 = 144

D: (x + 5) 2 + (y - 9) 2 = 12

Question

7 May, 10:57

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Aimee Holder · Answer 1

For a circle centre you reverse the units inside the brackets, and the radius is put equal and squared

hence (x-5) ^2 + (y+9) ^2=144

A circle is centered at (5, - 9) and has a radius of 12. Which of the following is the equation for this circle?A: (x - 5) 2 + (y + 9) 2 = 12B: (x - 5) 2 + (y + 9) 2 = 144C: (x + 5) 2 + (y - 9) 2 = 144D: (x + 5) 2 + (y - 9) 2 = 12