Question

Which describes a circle with center at (3,-2) and radius with length of 10?O (2x - 3)+ (y + 2)2 = 100O (x + 3)2 + (y – 2)2 = 100O (x – 3)+ (y + 2)2 = 20O x + 3)2 + (y-2)2 = 20

Answer 1

The general equation of the circle is given by the following formula:

`(x-h)^2+(y-k)^2=r^2`

Replace each of the given values in the formula to find the answer. In this case h is 3, k is -2 and r is 10.

`\begin{gathered} (x-3)^2+(y-(-2))^2=10^2 \\ (x-3)^2+(y+2)^2=100 \end{gathered}`

It means that the correct choice is the first one.