Equation of a Circle, Arc Sector and Arc Length

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69

Tags

CCSS.HSG.C.B.5

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

(x - 1)^2 + (y - 2)^2 = 3^2 ?

• Center (-1,-2)

  Radius = 3 units

• Center (1,2)

  Radius = 3 units

• Center (-1,-2)

  Radius = 9 units

• Center (1,2)

  Radius = 9 units

Tags

CCSS.HSG.GPE.A.1

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

• x² + y² = 3

• x² + y² = 6

• x² + y² = 9

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to (x+2)²+ (y-3)²=36

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

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

• (1, 1)

• (0, 0)

• 1

Tags

CCSS.HSG.GPE.A.1

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

• (x-3)² + (y+6)² = 25

• (x+3)² + (y-6)² = 25

• (x-3)² + (y+6)² = 45

• (x+3)² + (y-6)² = 5

Tags

CCSS.HSG.GPE.A.1

What is the radius of the given circle:

x² + y² - 10x + 8y - 23 = 0?

• 4

• 2

• 8

Tags

CCSS.HSG.GPE.A.1

Identify the center and the radius of the circle in general form.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Select the matching graph.

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1