Answer:
[tex] {(x + 5)}^{2} + {(y - 4)}^{2} = 36[/tex]
Step-by-step explanation:
Determine the Center (h, k) and radius r:
- The circle is on second quadrant of the coordinate plane, therefore its center (h, k) has signs ( - , + ).
- To determine h, count the units from y-axis parallel to x-axis to the center of circle.
- h = -5
- To determine k, count the units from x-axis parallel to y-axis to the center of the circle.
- k = 4
- the center (h,k) = (-5,4)
- to find the radius, count the number of units along the segment from the center of the circle to the point on the circle (or its edge). Radius is distance so it's always positive.
- radius, r = 6 units
Equation of circle:
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
Equation of given circle:
[tex] {(x - ( - 5))}^{2} + {(y - (4))}^{2} = {(6)}^{2} [/tex]
[tex] {(x + 5)}^{2} + {(y - 4)}^{2} = 36[/tex]
