Question

What is the equation of the circle with the center (-5, 3) and radius of 4?

Answer 1

See explanation

Explanation:

The equation of a circle is:
`(x – h)^2 + (y – k)^2 = r^2`

Where the center of the circle is `(h,k)` which correlates to `(x,y)`

Your center is given at `(-5,3)`, so plug these values into the equation above

`(x + 5)^2 + (y – 3)^2 = r^2`

Since your `x` value is negative, the minus and negative cancel out to make it `(x + 5)^2`

The `r` in the equation equals the radius, which is given at a value of `4`, so plug that into the equation

`(x + 5)^2 + (y – 3)^2 = 4^2`