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

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Answer 1 · 2018-03-07T17:28:31

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

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.