4.23.24 Equations in a Circle Practice

Identify the center and radius from the equation (x - 14)^2 + (y + 3)^2 = 36.

• Center: (14, -3), Radius: 6

• Center: (-14, 3), Radius: 36

• Center: (14, 3), Radius: 6

• Center: (-14, -3), Radius: 18

Identify the center and radius from the equation (x + 8)^2 + y^2 = 49

• Center: (-8, 0), Radius: 7

• Center: (8, 0), Radius: 49

• Center: (-8, 0), Radius: 49

• Center: (8, 0), Radius: 7

Write the equation of a circle with center (-15, 20) and diameter 10.

• (x + 15)^2 + (y - 20)^2 = 100

• (x - 15)^2 + (y + 20)^2 = 100

• (x + 15)^2 + (y - 20)^2 = 25

• (x - 15)^2 + (y + 20)^2 = 25

Write the equation of a circle with center (0, -8) and radius 3.

• x^2 + (y + 8)^2 = 9

• x^2 + (y - 8)^2 = 9

• x^2 + (y + 8)^2 = 3

• x^2 + (y - 8)^2 = 3

Write the equation of a circle given the endpoints of a diameter at (5, 10) and (3, 4).

• (x - 4)^2 + (y - 7)^2 = 10

• (x - 4)^2 + (y - 7)^2 = 36

• (x + 4)^2 + (y + 7)^2 = 10

• (x + 4)^2 + (y + 7)^2 = 36

Write the equation of a circle given the endpoints of a diameter at (-2, 9) and (-4,1).

• (x + 3)^2 + (y - 5)^2 = 20

• (x + 3)^2 + (y - 5)^2 = 40

• (x - 3)^2 + (y + 5)^2 = 20

• (x - 3)^2 + (y + 5)^2 = 40

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

• ( x - 5 )² + ( y + 8 )² = 14

• ( x - 5 )² + ( y - 8 )² = 49

• ( x - 5 )² + ( y + 8 )² = 49

• ( x + 5 )² + ( y - 8 )² = 49

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

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

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

What is the radius of the circle

(x+7)²+(y-2)²=144?

• 7

• 12

• 24

• 144