Question

The center of another circle is (-5,1) Its radius is √14 What is the equation of this circle?

Answer 1

Equation of a Circle

Circular equations are typically organized like this:

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

• 
  `(h,k)` is the center of the circle
• 
  `r` is the radius of the circle

Solving the Question

We're given:

• The center is (-5,1)
• The radius is
  `√(14)`

Plug the given information into the formula:

`(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-1)^2=(√(14))^2\\(x+5)^2+(y-1)^2=14`

Answer

`(x+5)^2+(y-1)^2=14`