What is the circumference of a circle centered at (-2,2) with equation x^2+y^2+4(x-y)-1=0

6π ≈ 18.850

Step-by-step explanation:

A vertical line through the center of the circle will contain the diameter. For x = -2, the values of y will be at opposite ends of the diameter.

... (-2)² + y² + 4(-2-y) -1 = 0 . . . . use -2 for x

... y² -4y -5 = 0 . . . . . . . . . . . . . . simplify

... (y -5)(y +1) = 0 . . . . . . . . . . . . . factor

... y = -1 or 5 . . . . . . . . . . . . . . . . the product is zero when a factor is zero

These values are separated by 5 -(-1) = 6, so the diameter is length 6. The circumference is π times that value:

... circumference = 6π ≈ 18.8496

range is infinite on both x and y axis positive and negative

step-by-step explanation:

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