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x^(2)+y^(2)+4x-2y=-1 The equation of a...

`x^(2)+y^(2)+4x-2y=-1`
The equation of a circle in the xy-plane is shown above. What is the radius of the circle?

A

2

B

3

C

4

D

9

Text Solution

AI Generated Solution

To find the radius of the circle given by the equation \(x^2 + y^2 + 4x - 2y = -1\), we need to convert this equation into the standard form of a circle's equation, which is \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is the center of the circle and \(r\) is the radius. ### Step-by-Step Solution: 1. **Rearrange the Equation**: Start with the given equation: \[ x^2 + y^2 + 4x - 2y = -1 \] ...
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