Question

A circle is drawn on a coordinate plane with the center point at (−1,3)
and a radius of 5. Derive the equation of the circle in standard form, using the given information and the Pythagorean Theorem.(1 point)

(x+1)2+(y−3)^2=25


(x−1)2+(y−3)^2=25


(x+3)2+(y−1)^2=25


(x−3)2+(y−1)^2=25

Answer 1

The standard form is (x - h)^2 + (y - k)^2 = r^2 with (h,k)=(-1,3) and r=5. So

(x + 1)^2 + (y - 3)^2 = 25.

(This is the first choice.)