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

(x+1)^2 + (y−3)^2 = 25

Reason: For center (h,k) = (−1,3) and radius 5, the standard form is (x−h)^2 + (y−k)^2 = r^2 → (x+1)^2 + (y−3)^2 = 25.