Unit 6 Assessment 3 Extra Practice

Identify the center and radius for the following circle:

(x + 2)² + (y - 7)² = 25

• Center: (-2, 7)

  Radius: r = 5

• Center: (2, -7)

  Radius: r = 5

• Center: (-2, 7)

  Radius: r = 25

• Center: (2, 7)

  Radius: r = 5

Identify the center and radius for the following circle:

x² + (y - 1)² = 81

• Center: (0, -1)

  Radius: r = 9

• Center: (0, 1)

  Radius: r = 81

• Center: (0, 1)

  Radius: r = 9

• Center: (1, 0)

  Radius: r = 9

Which of the following is the equation for a circle with a center (-4, -5) and a diameter of 12?

• (x + 4)² + (y + 5)² = 144

• (x + 4)² + (y + 5)² = 36

• (x + 4)² + (y + 5)² = 12

• (x - 4)² + (y - 5)² = 144

• x² + y² = 3

• x² + y² = 9

Which of the following is the equation for the circle shown below?

• (x + 5)² + (y + 5)² = 16

• (x - 5)² + (y + 5)² = 16

• (x - 5)² + (y + 5)² = 25

• (x + 5)² + (y - 5)² = 16

A circle is centered at (6, -8). The point (3, 4) is on the circle. Determine which of the following is the equation of the circle.

• (x + 6)² + (y + 8)² = 5

• (x + 6)² + (y - 8)² = 5

• (x - 6)² + (y - 8)² = 5

• (x - 6)² + (y + 8)² = 5

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.

(2, 0)

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.

(4, -2)

Given the circle represented by the equation (x - 3)² + (y + 4)² = 16, determine if the following point is located inside, on, or outside the circle.

(7, -4)

Determine if the following point lies inside, on, or outside a circle centered at the origin with a radius of 5 units.

(2, 2)