Question

A circle in the xy-plane has a center at (-32.7, -9.08) and a radius of V10. Which of thefollowing is an equation of the circle?А(x + 32.7)2 + (y +9.08)2 = V10B(x + 32.7)2 + (y +9.08)2 = V20(x + 32.7)2 + (y +9.08)2 = 10D(x +32.7)2 + (y +9.08)2 = 100

Answer 1

The general equation of a circle with the center at the point (a,b) and radius r is:

`(x-a)^2+(y-b)^2=r^2`

Since the coordinates of the center of this problem's circle are negative, they will be adding to the x and y variables. And the radius is sqrt(10) so when it's squared it gives 10. The equation is:

`(x+32.7)^2+(y+9.08)^2=10`

The correct answer is option C