WEEK 30 - 11.5 Quiz - Geometry

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 - 2)² + (y + 5)² = 144

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 144

In the equation (x - 3)² + (y - 2)² = 16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

In the equation (x + 2)² + (y - 3)² = 4, the radius of the circle is...

• 4

• 2

• 3

• 16

Write the equation of a circle with center (7, -2) with radius 3.

• (x - 7)² + (y + 2)² = 9

• (x + 2)² + (y -7)² = 9

• (x - 7)² + (y - 2)² = 3

• (x - 2)² + (y -7)² = 3

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

What is the equation of the circle?

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

A circle has the equation  $\left(x+2\right)^2+\left(y+2\right)^2\ =25$  . Which of the following is a point on the circle?

•  $\left(-6,\ 1\right)$  

•  $\left(-4,\ 2\right)$  

•  $\left(0,\ 2\right)$  

•  $\left(2,\ -2\right)$  

A circle has a center at (1, 1). The diameter is 6. Which of the following points is a point on the circle?

• $\left(0,\ -1\right)$

• $\left(-1,\ 3\right)$

• $\left(4,\ 1\right)$

• $\left(3,\ 3\right)$

What is the standard equation of the circle with center (4, -2) that passes through the point (4, 5)?

• (x - 4)² + (y - 5)² = 49

• (x - 4)² + (y - 2)² = 7

• (x - 4)² + (y + 2)² = 49

• (x - 4)² + (y + 2)² = 7

What is the standard equation of the circle with center (-1,8) that passes through the point (5,0)?

• (x + 1)² + (y - 8)² = 10

• (x + 1)² + (y - 8)² = 100

• (x -5)² + y² = 10

• (x - 5)² + y² = 100