Question

How do you write an equation of the circle with radius 5 centered at the point (-7,5)?

Answer 1

Substitute the given values into the Cartesian form of the equation of a circle:

`(x-h)^2+(y-k)^2=r^2" [1]"`

where `(h,k)` is the center and `r` is the radius

Explanation:

Substitute the given center point, `(-7,5)` into equation [1]:

`(x-(-7))^2+(y-5)^2=r^2" [1.1]"`

Substitute the given radius, `5`, into equation [1.1]:

`(x-(-7))^2+(y-5)^2=5^2" [1.2]"`

Equation [1.2] is the requested equation.