Center Circle

The Circle

Multiple Choice

What is the distance between the two points?

• $$\sqrt{40}$$

• $$\sqrt{8}$$
  

• $$\sqrt{52}$$
  

• $$\sqrt{2}$$

Multiple Choice

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

• (-4,8)

• (18,22)

• (3,1)

• (-5,-7)

From Center and Radius

Multiple Choice

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

Multiple Choice

Write the standard equation of the circle with the given center and radius; center (0, 0) and radius of 3.

• x² + y² = 4

• x² + y² = 81

• x² + y² = 9

• x² + y² = 3

Multiple Choice

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36
• (x - 5)² + (y + 2)² = 6
• (x + 5)² + (y - 2)² = 36
• (x + 2)² + (y - 5)² = 6

Multiple Choice

What is the equation of the circle, with centre (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6
• (x - 4)^2 + (y + 5)^2 = 36
• (x + 4)^2 + (y - 5)^2 = 6
• (x + 4)^2 + (y - 5)^2 = 36

Multiple Choice

What is the equation of the following circle?

• (x - 3)² + (y + 4)² = 9

• (x - 3)² + (y + 4)² = 3

• (x)² + (y)² = 9

• (x - 1)² + (y + 1)² = 7

Multiple Choice

What is the equation of the circle given its center at (0, 0) and a radius of  $$\sqrt{2}$$  ?

• $$x^2+y^2=\sqrt{2}$$

• $$x^2+y^2=2$$

• $$x^2+y^2=\sqrt{-2}$$

• $$x^2+y^2=-2$$

From Standard Formula

Multiple Choice

What is the radius of the Circle with equation (x + 5)² + (y - 10)² = 9?

• 4.5

• 9

• 3

• 81

Multiple Choice

What is the center of the circle with equation x² + y² = 1?

• (1, 1)
• (0, 0)
• not enough information

Multiple Choice

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)

  Radius = 5 units

• Center (4,3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 25 units

• Center (-4,-3)

  Radius = 5 units

Multiple Choice

Which of the following is the graph of this equation (x - 7)² + (y + 1)² = 1?

From Standard Formula

Multiple Choice

Find the equation for the circle that has center (-1,1) and passes through the point (2,5).

• $$\left(x+1\right)^2+\left(y-1\right)^2=25$$

• $$\left(x+1\right)^2+\left(y-1\right)^2=5$$

• $$\left(x-1\right)^2+\left(y+1\right)^2=25$$

• $$\left(x-1\right)^2+\left(y+1\right)^2=5$$

Multiple Choice

Find the standard form equation of the circumference if the endpoints of one of its diameters are P(-1,1) and Q(5,9)

• $$\left(x-2\right)^2+\left(y-5\right)^2=25$$

• $$\left(x-2\right)^2+\left(y-5\right)^2=5$$

• $$\left(x-2\right)^2+\left(y-5\right)^2=100$$

• $$\left(x-2\right)^2+\left(y-5\right)^2=10$$

Multiple Choice

Find the standard form equation of the circumference if the endpoints of one of its diameters are P(-2, 3) and Q(2, 3)

• $$x^2+\left(y-3\right)^2=4$$

• $$x^2+\left(y-3\right)^2=2$$

• $$x^2+\left(y-3\right)^2=16$$

• $$x^2+\left(y-5\right)^2=4$$

General Form

Multiple Choice

Verify if the point (2, -8) lies on the circle x² + y² = 64

• Yes

• No

Multiple Choice

Verify if the point

$$\left(6,\sqrt{13}\right)$$  lies on the circle  $$x^2+y^2=49$$  

• Yes

• No

Multiple Choice

2x²+2y²-8x-12y+8=0
Find the Standard Equation

• (x-2)²+(y-3)²=9
• (x-2)²+(y-3)²=96
• (x-2)²+(y-3)²=5
• (x-2)²+(y-3)²=44

Multiple Choice

x²+y²-4x+10y+20=0
Find the standard equation

• (x-2)²+(y+5)²=9
• (x-2)²+(y+5)²=-20
• (x+2)²+(y+5)²=9
• (x-2)²+(y+5)²=20

Multiple Choice

x²+y²-2x-4y-4=0
Find the standard equation

• (x-1)²+(y-2)²=9
• (x-1)²+(y-2)²=4
• (x-1)²+(y-2)²=1
• (x-1)²+(y-2)²=8