Geometry SBA 5 Study Guide

Which equation describes a circle with a center (3, -2) and a radius of 5?

• (x + 3)² + (y – 2)² = 25

• 5(x + 3)² + (y – 2)² = 0

• (x – 3)² + (y + 2)² = 5

• (x – 3)² + (y + 2)² = 25

Answer explanation

The equation x² + 8x + y² = 20 describes a circle. What is the center and radius of this circle?

• Center (4, 0) Radius 36

• Center (-4, 0) Radius 6

• Center (8, 0) Radius √20

• Center (-8, 0) Radius 20

Answer explanation

Mathematical Equivalence

ON

Answer explanation

The equation x² + y² + 6x + 8y + 10 = 0 describes a circle. What is the radius?

• √10

• 10

• √15

• 15

Answer explanation

The equation x² + y² + 6x + 8y + 10 = 0 describes a circle. What is the center?

• (3, 4)

• (−3, −4)

• (6, 8)

• (−6, −8)

Answer explanation

Write the equation of a circle centered at (4, 6) with a radius of 5.

Mathematical Equivalence

ON

Answer explanation

Answer explanation

Mathematical Equivalence

ON

Answer explanation

• -3

• 12

• 3

Answer explanation

• ( 4 , 1 )

• ( 1 , - 2)

• ( 2 , - 1)

• ( 1, 1)

Answer explanation