Answer:
Substitute the given values into the Cartesian form of the equation of a circle:
(x−h)2+(y−k)2=r2 [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=r2 [1.1]
Substitute the given radius,
5, into equation [1.1]:
(x−(−7))2+(y−5)2=52[1.2]
Equation [1.2] is the requested equation.
https://socratic.org/questions/how-do-you-write-an-equation-of-the-circle-with-radius-5-centered-at-the-point-7
I hope that helps.