SAT - Circle Practice

The graph of the equation (x + 4)² + (y - 19)² = 121 is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the following is a possible value for a?

• -16

• -14

• 11

• 19

Tags

NJ.MATH.9-12.G.GPE.A.1

In the xy-plane, a circle is defined by the equation x² + y² = 25. A line is defined by the equation y = x + 1. How many points of intersection (x, y) do the circle and the line have?

• 0

• 1

• 2

• infinitely many

Tags

CCSS.HSA.REI.C.7

A circle in the xy-plane has its center at (3, -4) and passes through the point (3, 2). Which of the following is an equation of this circle?

• (x - 3)² + (y + 4)² = 6

• (x - 3)² + (y + 4)² = 36

• (x + 3)² + (y - 4)² = 36

• (x - 3)² + (y + 4)² = 12

Tags

CCSS.HSG.GPE.A.1

The equation x² + y² - 6x + 8y = -9 represents a circle in the xy-plane. What is the radius of the circle?

• 3

• 4

• 9

• 16

Tags

CCSS.HSG.GPE.A.1

A circle in the xy-plane has its center at (-1, 1). A line t is tangent to this circle at the point (5, -4). Which of the following is an equation for the circle?

• (x + 1)² + (y - 1)² = 61

• (x - 1)² + (y + 1)² = 61

• (x + 1)² + (y - 1)² = √61

• (x + 1)² + (y - 1)² = 36

Tags

CCSS.HSG.GPE.A.1

Circle A is defined by the equation (x - 2)² + (y - 1)² = 49. Circle B is obtained by shifting circle A down 2 units in the xy-plane. If the two circles intersect at points where x = 2, what is the y-coordinate of one of those intersection points?

• -1

• 1

• 6

• 8

Tags

CCSS.HSG.CO.A.2

What is the standard form equation for a circle with center at (h, k) and radius r?

• (x + h)² + (y + k)² = r²

• (x - h)² + (y - k)² = r²

• (x + h)² + (y - k)² = r²

• (x - h)² + (y + k)² = r²

Tags

CCSS.HSG.GPE.A.1

If a circle has the equation (x - 5)² + (y + 2)² = 9, what is the radius of the circle?

• 3

• 5

• 9

• 2

Tags

CCSS.HSG.GPE.A.1

If a circle has center (2, -3) and radius 5, which of the following is its equation?

• (x + 2)² + (y - 3)² = 25

• (x - 2)² + (y + 3)² = 25

• (x - 2)² + (y - 3)² = 25

• (x + 2)² + (y + 3)² = 25

Tags

NJ.MATH.9-12.G.GPE.A.1

Which of the following equations represents a circle with center at (0, 0) and radius 7?

• x² + y² = 49

• x² + y² = 14

• x² + y² = 7

• x² + y² = 21

Tags

CCSS.HSG.GPE.A.1