Write the equation of a circle with center of (5,-3) and a radius of 4

Question

asked Apr 16, 2020 198k views

1 Answer

Daniel Mora · Answer 1 · 2020-04-20T04:36:06+0000

Answer:

$\large\boxed{(x-5)^2+(y+3)^2=16}$

Explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 4. Substitute:

$(x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16$