Question

What is the equation for a circle given it’s center is at (4, -1) and it’s radius is 5

Answer 1

(x-4)^2 + (y+1) ^2 = 25

Explanation:

We can write the equation for a circle

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

Where (h,k) is the center and r is the radius

(x-4)^2 + (y- -1) ^2 = 5^2

(x-4)^2 + (y+1) ^2 = 5^2

(x-4)^2 + (y+1) ^2 = 25