Equation of a Circle, Arc Sector and Arc Length

• 12π cm

• 27π cm

• 12 cm

• 27 cm

Tags

CCSS.HSG.C.B.5

Find the measure of arc AB. Write your answer as just a number. No "degrees"

(a)  

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.GPE.A.1

Find the sector area. The central angle is measured in radians. (Hint: a total circle measures 2pi radians)

Tags

CCSS.HSG.C.B.5

What is 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

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (a,b) and radius r units?

• (x - a)^2 + (y - b)^2 = r^2

• (x + a)^2 + (y + b)^2 = r^

• (x - a)^2 + (y - b)^2 = r^

• (x + a)^2 + (y + b)^2 = r^2

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with center (4,2) and radius 5 units?

• (x + 4)^2 + (y + 2)^2 = 25

• (x + 4)^2 + (y + 2)^2 = 5

• (x - 4)^2 + (y - 2)^2 = 5

• (x - 4)^2 + (y - 2)^2 = 25

Tags

CCSS.HSG.GPE.A.1

See Picture

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Tags

CCSS.HSG.C.B.5