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.