A circle is drawn on a coordinate plane with the center point at (−2,0) and a radius of 7. Derive the equation of the circle in standard form, using the given information and the Pythagorean Theorem.(1 point) Responses x2+(y+2)2=49 x squared plus left parenthesis y plus 2 right parenthesis squared equals 49 (x−2)2+y2=49 left parenthesis x minus 2 right parenthesis squared plus y squared equals 49 x2+(y−2)2=49 x squared plus left parenthesis y minus 2 right parenthesis squared equals 49 (x+2)2+y2=49

1 answer

To derive the equation of a circle in standard form, we use the formula:

\[ (x - h)^2 + (y - k)^2 = r^2 \]

where \((h, k)\) is the