Determine if the equation x2+y2−2x+4y−4=0x^2+y^2-2x+4y-4=0x2+y2−2x+4y−4=0 is a circle, and if it is, find its center and radius.

Is a circle, center = c ( 1 , − 2 ) c\left(1,-2\right) c ( 1 , − 2 ) , radius r = 3 r=3 r = 3 .

Determine if the equation x 2 + y 2 − 2 x + 4 y − 4 = 0 x^2+y^2-2x+4y-4=0 x 2 + y 2 − 2 x + 4 y − 4 = 0 is a circle, and if it is, find its center and radius.

Is a circle, center = c ( 1 , − 2 ) c\left(1,-2\right) c ( 1 , − 2 ) , radius r = 3 r=3 r = 3 .

Is a circle, center = c ( 0 , 0 ) c\left(0,0\right) c ( 0 , 0 ) , radius r = 2 r=2 r = 2 .

Is a circle, center = c ( 0 , 0 ) c\left(0,0\right) c ( 0 , 0 ) , radius r = 3 r=3 r = 3 .

8. Conic Sections

Circles

Multiple Choice

Is a circle, center = $c\left(0,0\right)$ , radius $r=2$ .

Is a circle, center = $c\left(0,0\right)$ , radius $r=3$ .

Is a circle, center = $c\left(1,-2\right)$ , radius $r=3$ .

Is not a circle.

Master Circles in Standard Form with a bite sized video explanation from Nick Kaneko

Problem sets built by lead tutors

Expert video explanations