Standard Equation of Circles

Which of the following is the standard equation of the circle given the conditions: center at the origin with radius 4

• x² + y² = 4

• x² + y² = 8

• x² + y² = 16

• x² + y² = 64

Tags

CCSS.HSG.GPE.A.1

Which of the following is the standard equation of the circle given the conditions: center at (-4, 3) and radius at √7

• (x + 4)² + (y - 3)² = √7

• (x + 4)² + (y - 3)² = 7

• (x - 4)² + (y + 3)² = √7

• (x - 4)² + (y + 3)² = 7

What is the equation of the given circle?

• (x + 3)² + (y + 1)² = 16

• (x + 3)² + (y + 1)² = 25

• (x - 3)² + (y - 1)² = 16

• (x - 3)² + (y - 1)² = 25

What is the equation of circle A?

• (x + 2)² + (y + 1)² = 16

• (x + 2)² + (y + 3)² = 16

• (x - 6)² + (y - 5)² = 16

• (x - 6)² + (y + 2)² = 16

What is the equation of Circle B?

• (x - 3)² + (y - 2)² = 9

• x² + (y - 1)² = 9

• (x + 5)² + (y + 5)² = 9

• (x + 4)² + (y + 2)² = 9

Which of the following is the equation of the circle having these conditions: circle at (5, -6) and tangent to the y-axis

• (x + 5)² + (y - 6)² = 36

• (x - 5)² + (y + 6)² = 36

• (x - 5)² + (y + 6)² = 25

• (x + 5)² + (y - 6)² = 25

Which of the following is the equation of the circle having these conditions: center at (5, -6) and tangent to the x-axis

• (x + 5)² + (y - 6)² = 36

• (x - 5)² + (y + 6)² = 25

• (x - 5)² + (y + 6)² = 36

• (x + 5)² + (y - 6)² = 25

Which of the following is the equation of the circle having these conditions: it has a diameter with endpoints A(-1,4) and B(4,2).

• (x - 3/2)² + (y - 3)² = 29/4

• (x - 3/2)² + (y - 3)² = 16/3

• (x - 3/2)² + (y - 3)² = 6/5

• (x - 3/2)² + (y - 3)² = 31/2

Which of the following is the equation of the circle having these conditions: center at the origin and contains points (0,3)

• x² + y² = 3

• x² + y² = 0

• x² + y² = 6

• x² + y² = 9

Tags

CCSS.HSG.GPE.A.1

Which of the following is the equation of the circle having these conditions: center at (1,5) and has a diameter of 8

• (x - 1)² + (y - 5)² = 8

• (x - 1)² + (y - 5)² = 16

• (x - 1)² + (y - 5)² = 32

• (x - 1)² + (y - 5)² = 64