Question

A circle is drawn on a coordinate plane with the center point at (4, −5) and a radius of 7.

Derive the equation of the circle in standard form, using the given information and the Pythagorean theorem.

(1 point)

(x+4)2+(y−5)2=49

(x−4)2+(y+5)2=7

(x−4)2+(y+5)2=49

(x+4)2+(y+5)2=49

Answer 1

(x−4)² + (y+5)² = 49

Reason: Standard form is (x−h)²+(y−k)²=r². With center (h,k)=(4,−5) and r=7, substitute to get (x−4)²+(y+5)²=49.