A circle with center

Question

is graphed in the

-plane.
The diagram shows a circle graphed in the x y coordinate plane with center R at coordinates 3 comma negative 4 and a radius that is 5 units long.













The diagram shows a circle graphed in the x y coordinate plane with center R at coordinates 3 comma negative 4 and a radius that is 5 units long.
Which of the following is an equation of the circle?
Choose 1 answer:
Choose 1 answer:
(Choice A)


A

(Choice B)


B

(Choice C)


C

(Choice D)


D

Show calculator

Answer 1

The equation of a circle with center at (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2

In this case, the center is at (3, -4) and the radius is 5. Plugging in these values, we get: (x-3)^2 + (y+4)^2 = 5^2

So, the equation of the circle is (x-3)^2 + (y+4)^2 = 25

Therefore, the answer is (Choice C) C