I NEED HELP!!!
Write the equation of the circle with center (0, 0) and (−4, 5) a point on the circle.
A) x2 + y2 = 1
B) x2 + y2 = 9
C) x2 + y2 = 41
D) x2 + y2 = 81
standard equation for a circle is: (x -h)² + (y - k)² = r² (h,k) is the center which is given to be: (0,0) so you just need the radius. The radius is the distance from the center to the point (-4,5) on the edge.
Use the distance formula
d = √[(-4 - 0)² + (5 -0)²] d = √[16 + 25] d = √[41]
radius is √[41] so the equation for the circle is: x² + y² = 41
