Question

Determine the Equation of circle A

Answer 1

Explanation:

When writing the equation for a circle on a plane, we use the format:

`(x-x_(1))^2+(y-y_(1))^2=r^2`

x1 and y1 is the point of the center of the circle, which in this case is (1,-2)

r represents the radius, which is the distance from the center to the edge of the circle, which is (4,-2) - (1,-2) = 3

Our equation is now:

`(x-1)^2+(y+2)^2=9`

the reason why its y+2 is because (y-(-2) = (y+2)

r is squared, which is why it's 9 instead of 3. Hope this helps!