FSA Review Foundation #6: Circles

FSA Review Foundation #6: Circles

Multiple Choice

Daniel wants to buy cookies for her friend. The radius of a cookie is 5 inches. What is the cookie’s circumference?

• 10 in
• 2.5 in
• 15.7 in
• 31.4 in 

Multiple Choice

Determine the radius of the penny

• 59.66 mm
• 9.5 mm
• 38 mm
• 119.32 mm

Multiple Choice

A circular swimming pool is 21 feet in diameter. What is the circumference of the pool?

• 10.5 ft
• 42 ft
• 65.97 ft
• 131.95 ft

Multiple Choice

Cynthia wants to buy a round photo frame for her brother. The radius of the photo frame is 9 cm. What is the photo frame’s diameter?

• 28.26 cm
• 56.52 cm
• 4.5 cm
• 18 cm

Multiple Choice

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5
• 9
• 8
• 6

Multiple Choice

• 60^o

• 157^o

• 50^o

• 493^o

Multiple Choice

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

Multiple Choice

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

• 7/4π
• 7/2π
• 1/8π
• 45π

Multiple Choice

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47
• 74
• 94
• 123

Multiple Choice

Find the area of the circle

• 43.96
• 153.86
• 87.82
• 307.72

Multiple Choice

Find the area of the circle

• 56.52
• 254.34
• 1017.36
• 113.04

Multiple Choice

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

• 63.585 ft²
• 68.345 ft²
• 64.585 ft²
• 61.345 ft²

Multiple Choice

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

• 31.25 m²

• 29.55 m²

• 30.36 m²

• 50.27 m²

Multiple Choice

what is the area of a circle with the diameter of 10cm ?

• 66cm
• 78.5cm
• 66.5cm
• 10m

Multiple Choice

Mr. Smith wants to cover his circular pool. If the pool has a diameter of 13 feet how much fabric would he need to cover the pool? (round to the nearest whole number)

• 41 ft²

• 133 ft²

• 250 ft²

• 531 ft²

Multiple Choice

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

• 0.3 square units
• 15.7 square units
• 19.7 square units
• 50.3 square units

Multiple Choice

What is the area of the shaded SECTOR? Round to the nearest hundredth.

• 9.42 u²

• 113.10 u²

• 284.3 u²

• 452.39 u²

Multiple Choice

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.

• 25.2 in²

• 28.5 in²

• 31.4 in²

• 38.2 in²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 15.4m²

• 15.3m²

• 15.5m²

• 15.6cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 89.3cm²

• 89.4cm²

• 78.5cm²

• 89.6cm²

Multiple Choice

Find the area of the sector, rounding your answer to 1d.p.

• 209.4cm²

• 209.3cm²

• 104.7cm²

• 104.1cm²

Multiple Choice

Convert 7π/ 6 radians into degrees

• 225

• 210

• 270

• 240

Multiple Choice

Convert 4π/ 3 radians in degrees

• 120

• 240

• 210

• 270

Multiple Choice

Convert 210^o to Radians

• 7π / 6

• 21π / 10

• 5π / 6

• 9π / 4

Multiple Choice

Convert 510^o to Radians

• 25π / 3

• 23π / 8

• 17π / 6

• 51π / 8

Multiple Choice

What is 225  degrees in radians? 

• 7π/4
• 5π/4
• 3π/4
• 5π/3

Multiple Choice

What is 7π/4 radians in degrees?

• 300
• 135
• 315
• 45

Multiple Choice

Convert 100⁰ to radians

• 5π/9
• π/2
• 5π/8
• 5π/6

Multiple Choice

Convert 150⁰ to radians

• 5π/6
• 3π/4
• 7π/6
• 2π/3

Multiple Choice

Which is true of a minor arc?

• It forms half a circle.
• It forms a whole circle.
• It measures greater than 180 degrees. 
• It measures less than 180 degrees.

Multiple Choice

Name a minor arc

• AD
• ADB
• AB
• CD

Multiple Choice

Find the measure of arc JH

• 93
• 130
• 120
• 95

Multiple Choice

What is the measure of arc AYB

• 50
• 100
• 180
• 260

Multiple Choice

What is the value of x?

• x = 160
• x = 40
• x = 80
• x = 360

Multiple Choice

What is the measure of arc WXZ?

• 231
• 255
• 168
• 200

Multiple Choice

What is the measure of arc AB?

• 140
• 142
• 180
• 153

Multiple Choice

Find PK.

• 7

• 22

• 44

• 11

Multiple Choice

Find the value of x.

• 10
• 181
• 34
• 40

Multiple Choice

Find x

• 10
• 5
• 18
• 9

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Find the measure of arc RT.

• 142

• 98

• 155

• 187

Multiple Choice

Find the measure of angle H.

• 40

• 37

• 23

• 26

Multiple Choice

Find the measure of angle B.

• 32

• 24

• 44

• 36

Multiple Choice

Find the measure of angle H.

• 40

• 37

• 23

• 26

Multiple Choice

• A

• B

• C

• D

Multiple Choice

then what is the value of x?

• 13°

• 3°

• 24°

• 6°

Multiple Choice

Solve for x.

• 86

• 12

• 11

• 94

Multiple Choice

Find a and b.

• a = 74°

  b = 93°

• a = 93°

  b = 74°

• a = 87°

  b = 106°

• a = 106°

  b = 93°

Multiple Choice

What is x?

• 5

• 23

• 2

• 28

Multiple Choice

Find the length of LK

• 24

• 20.25

• 17.5

• 12.32

Multiple Choice

What is the value of x?

• 22
• 25
• 15
• 20

Multiple Choice

Assume that all the lines that appear tangent are tangent. Find the perimeter

• 54
• 36
• 48
• 42

Multiple Choice

The polygon circumscribes a circle. What is the perimeter of the polygon?

• 82

• 32

• 21

• 42

Multiple Choice

The polygon circumscribes a circle. What is the perimeter of the polygon?

• 140

• 45

• 70

• 190

Multiple Choice

What is the value of x to the nearest tenth?

• 5

• 25

• 5.5

• 4.5

Multiple Choice

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

• 90

• 140

• 220

• 360

Multiple Choice

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

• 90

• 140

• 220

• 360

Multiple Choice

Find the value of x.

• 45

• 10

• 20

• 90

Multiple Choice

What is the measure of angle 1?

• 130
• 65
• 44
• 86

Multiple Choice

Find the value of x.

• 88

• 38

• 34

• 44

Multiple Choice

What is the measure of angle 2?

• 80
• 45
• 125
• 40

Multiple Choice

Find the value of x.

• 15

• 18

• 21

• 24

Multiple Choice

Solve for x.

• 5
• 8.66
• 10
• 20

Multiple Choice

Solve for a.

• 6
• 6.67
• 8.33
• 10

Multiple Choice

In the diagram, two chords intersect inside the circle. Solve for x.

• 14
• 12
• 19
• 17

Multiple Choice

In the diagram, a tangent and segment intersect the circle. Find x.

• 9
• 10
• 15
• 14

Multiple Choice

In the diagram, two segments intersect outside the circle. Solve for x.

• 6
• 13
• 10
• 9

Multiple Choice

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

• 2
• 3
• 9
• 14

Multiple Choice

Find the value of x

• 10
• 15
• 12
• 19

Multiple Choice

Find the value of x

• 4
• 18
• 3
• 9

Multiple Choice

Find the value of x

• 6
• 13
• 10
• 9

Multiple Choice

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Multiple Choice

What are 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

Multiple Choice

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Multiple Choice

What is the equation of the circle.

• (x - 3)² + (y + 4)² = 9

• (x - 3)² + (y + 4)² = 3

• x² + y² = 9

• (x - 1)² + (y + 1)² = 7

Multiple Choice

In order to convert from general form to center-radius form, you must ___________. 

• Multiply out
• expand
• factor
• complete the square

Multiple Choice

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

• (4,6))

• (2,3)

• (-2,-3)

• (-4, -6)

Multiple Choice

What is the center and radius given the equation, x² + y² + 8x - 2y - 64 = 0?

• Center: (-4, 1), Radius: 9

• Center: (4,1), Radius: 8

• Center: (1,-4), Radius: 64

• Center: (-4, 1), Radius: 81

Multiple Choice

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

Multiple Choice

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

• (x−6)²+(y−3)²=13

• (x−3)²+(y−6)²=13²

• (x−5)²+(y−9)²=13

• (x−9)²+(y−5)²=169/4

Multiple Choice

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

Multiple Choice

What is the equation of the circle written in standard form?

 $x^2+y^2+14x+18y+114=0$  

•  $\left(x-7\right)^2+\left(y+9\right)^2=16$  

•  $\left(x+7\right)^2+\left(y+9\right)^2=16$  

•  $\left(x+7\right)^2+\left(y+9\right)^2=244$  

•  $\left(x-7\right)^2+\left(y+9\right)^2=244$  

Multiple Choice

What is the center of the circle?

 $x^2+y^2-4x+22y+116=0$  

•  $\left(-4,\ 22\right)$  

•  $\left(2,\ -11\right)$  

•  $\left(-2,\ 11\right)$  

•  $\left(4,\ -22\right)$