Answer:
Center = (7 , -2)
Radius = 10
Step-by-step explanation:
To find the center of a circle in an equation. You always have to flip the value within the parenthesis. For example, in this case we have (x - 7) and (y + 2), flip the number to its opposite sign. So 7 would end up being positive and y would end up being negative. This makes our center.
(x - 7)^2 + (y + 2)^2 = 100
(7 , -2)
Now for radius, since the base equation for a circle is (x - h)^2 + (y - k)^2 = r^2. We have to take the square root of whatever is in r's place. Which in this case is 100. Do as said,
[tex]\sqrt{100}[/tex]
10
This makes 10 our radius.
Center = (7 , -2)
Radius = 10
