Free Printable 2023 Accel Adv Alg U1 Circles Midterm Review

1.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

2.

What is the measure of arc AXB

a)

50

b)

100

c)

180

d)

260

3.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

4.

If the measure of arc ABC = 210°, what is the measure of arc AC?

a)

150°

b)

100°

c)

210°

d)

105°

5.

Solve for x.

a)

5

b)

20

c)

40

d)

85

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

a

b)

b

c)

c

d)

d

9.

$\angle K=$

a)

$45\degree$

b)

$135\degree$

c)

$88\degree$

d)

$8\degree$

10.

$\angle J=$

a)

$88\degree$

b)

$45\degree$

c)

$135\degree$

d)

$108\degree$

11.

\angle X=

a)

$96\degree$

b)

$129$

c)

$84\degree$

d)

$49\degree$

12.

$\angle W=$

a)

$129\degree$

b)

$96\degree$

c)

$84\degree$

d)

$49\degree$

13.

Solve for x and y

a)

x = 11, y = 4

b)

x = 4, y = 11

c)

x = 0, y = 15

d)

x = 15, y = 0

14.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

15.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

16.

What is x?

a)

15

b)

23

c)

2

d)

92

17.

Solve for x.

a)

37.5

b)

11

c)

118

d)

15

18.

Solve for x.

a)

90

b)

12

c)

47

d)

45

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

Find the measure of <F

a)

46

b)

5

c)

90

d)

1.8

22.

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

a)

35°

b)

40°

c)

45°

d)

50°

23.

Find the m $\angle$ E.

a)

120

b)

75

c)

60

d)

195

24.

Find the value of x.

a)

20.5

b)

9.5

c)

3

d)

5

25.

Solve for x. Remember when you set up the equation, put the -6+7x in parenthesis to distribute the subtraction (neg)

a)

9

b)

10

c)

11

d)

12

26.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

27.

Find the measure of the missing arc.

a)

70°

b)

100.5°

c)

201°

d)

140°

28.

Determine the measure of the missing angle/arc indicated.

(a)

29.

Solve for x.

(a)

30.

Solve for x.

(a)

31.

Determine the value of x using the information in the diagram.

a)

136º

b)

70º

c)

68º

d)

66º

32.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

33.

Determine the value of x using the information in the diagram.

a)

60º

b)

70º

c)

80º

d)

100º

34.

Determine the value of x using the information in the diagram.

a)

280º

b)

174º

c)

140º

d)

68º

35.

Determine the value of x using the information in the diagram.

a)

115º

b)

85º

c)

75º

d)

55º

36.

∠ BEC is formed inside a circle by intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

a)

44°

b)

47°

c)

50°

d)

53°

37.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

38.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

39.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

40.

Find the length of the minor arc.

a)

$\frac{19}{9}\pi$ cm

b)

$\frac{38}{9}\pi$ cm

c)

$\frac{576}{19}\pi$ cm

d)

$\frac{31}{36}\pi$ cm

41.

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.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

42.

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

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

43.

What is the area of the shaded sector?

a)

7.14 in²

b)

5.23 in²

c)

97.34 in²

d)

15.7 in²

44.

Find the area of the shaded sector.

a)

2.1

b)

10.5

c)

3.1

d)

1.9

45.

Find the area of the shaded sector.

a)

30.8

b)

5.5

c)

18.1

d)

3.3

46.

Find the area of the shaded sector.

a)

17.8

b)

53.4

c)

19.9

d)

59.7

47.

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

a)

7/4π cm

b)

7/2π cm

c)

1/5π cm

d)

45π cm

48.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

49.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

50.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

51.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

52.

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

a)

20

b)

10

c)

5

d)

Not Enough Information

53.

When you draw the altitudes of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Circumcenter

d)

Orthocenter

54.

AD = 12. Find AG

a)

6

b)

8

c)

18

d)

12

55.

BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

56.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

57.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

58.

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Circumcenter

d)

Orthocenter

59.

If G is the circumcenter, what type of segments are drawn?

a)

perpendicular bisectors

b)

angle bisectors

c)

altitudes

d)

centroids

60.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

61.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

62.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

63.

What is point J called?

a)

centroid

b)

incenter

c)

circumcenter

d)

orthocenter

64.

What is the point of concurrency for altitudes?

a)

orthocenter

b)

median

c)

incenter

d)

circumcenter

65.

If m∠CAP = 34° , find ∠CAB.

a)

17°

b)

34°

c)

68°

d)

90°

66.

Find the length of TU

a)

15

b)

12

c)

26

d)

13

67.

D is the circumcenter, find ED

a)

15

b)

16

c)

17

d)

19

68.

D is the circumcenter, find EH

a)

15

b)

16

c)

17

d)

19

69.

The circumcenter is always inside the triangle.

a)

true

b)

false

70.

The incenter is __________ found inside a triangle.

a)

Sometimes

b)

Always

c)

Never

71.

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

72.

The orthocenter can fall inside of, on, or outside of the triangle.

a)

True

b)

False

73.

Convert 180° to a radian measure.

a)

$\frac{1}{2}\pi$

b)

$\pi$

c)

$2\pi$

d)

$\frac{3}{4}\pi$

74.

Convert 60° to a radian measure.

a)

$\frac{1}{3}\pi$

b)

$\frac{1}{6}\pi$

c)

$\frac{1}{2}\pi$

d)

$\pi$

75.

Convert 300° to a radian measure.

a)

$\frac{3}{4}\pi$

b)

$\frac{7}{4}\pi$

c)

$\frac{5}{3}\pi$

d)

$\frac{5}{6}\pi$

76.

Convert 270° to a radian measure.

a)

$\frac{3}{4}\pi$

b)

$\frac{6}{5}\pi$

c)

$\frac{5}{3}\pi$

d)

$\frac{3}{2}\pi$

77.

Convert 150° to a radian measure.

a)

$\frac{5}{6}\pi$

b)

$\frac{6}{5}\pi$

c)

$\frac{6}{7}\pi$

d)

$\frac{5}{4}\pi$

78.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

79.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

80.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

81.

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

a)

2.36in

b)

7in

c)

3.53in

82.

What is the circumference of a circle whose radius is 4 inches?

a)

C = 4 inches

b)

C = 8 $\pi$

c)

C = 4 $\pi$

d)

C = 2 $\pi$

83.

If a circle's circumference is $14\pi$ yards, what is the radius?

a)

r = 14 yards

b)

r = 7 degrees

c)

r = 28 yards

d)

r = 7 yards

84.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

85.

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

a)

4

b)

2

c)

3

d)

16

86.

In the equation (x-3)²+(y-2)²=16, the radius of the circle is...

a)

16

b)

32

c)

3

d)

4

87.

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

a)

242

b)

11

c)

121

d)

22

88.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

89.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

90.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(-2,41)

b)

(-2,4)

c)

(2,-4)

d)

(2,41)

91.

What is the equation for this circle?

a)

(x+1)²+(y+1)²=9

b)

x²+y²=9

c)

x²+y²=6

d)

x²+y²=3

92.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

93.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

94.

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

a)

(-9/2, -1)

b)

(-15/2, -6)

c)

(9/2, 1)

d)

(15/2, 6)

95.

What is the standard equation of a circle?

a)

(x-k)² + (y-h)² = r²

b)

(x+h)² + (y+k)² = r²

c)

(x-h)² + (y-k)² = r²

d)

(k-x)² + (h-y)² = r²

96.

What does (h,k) standard for in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is the radius of the circle

d)

(h,k) is the diameter of the circle

97.

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

a)

10

b)

3

c)

5

d)

25

98.

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

a)

(1, 1)

b)

(0, 0)

c)

not enough information

99.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

100.

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

101.

The equation of a circle is x²+ y²+ 6x - 12y + 20 = 0. Write the equation in standard form.

a)

(x - 3)² + (y + 6)² = 25

b)

(x + 3)² + (y - 6)² = 25

c)

(x - 3)² + (y + 6)² = 45

d)

(x + 3)² + (y - 6)² = 5

102.

A circle has the equation x² + y² + 10x - 4y + 20 = 0. Write it in standard form.

a)

(x - 5)² + (y + 2)² = 9

b)

(x + 5)² + (y - 2)² = 3

c)

(x + 5)² + (y - 2)² = 9

d)

(x - 5)² + (y + 2)² = 3

103.

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

a)

C = (5,-4) r = 7

b)

C = (-5,4) r = 7

c)

C = (-4,5) r = 49

d)

C = (5,-4) r = 49

104.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

105.

Determine the equation of a circle with center (5,-3) and radius of 9

a)

x²+y²-10x+6y-47=4

b)

x²+y²-10x-6y-47=0

c)

2x²+y²+10x+6y-47=0

d)

x²+y²-10x+6y-47=0

106.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x+2)² + (y+3)² = 49

b)

(x+2)² + (y+3)² = 13

c)

(x-2)² + (y-3)² = 49

d)

(x-2)² + (y-3)² = 13

107.

What is the center of the circle

x^2+y^2-4x+10y+13=0?

a)

(2,5)

b)

(-2, 5)

c)

(2, -5)

d)

(-2,-5)

108.

Solve the area of the circle given the general form:

$x^2+y^2-2x-8y-44=0$

a)

$49πu^2$

b)

$61\pi u^2$

c)

$81πu^2$

d)

$100πu^2$

109.

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

110.

Find the center and radius of the circle: x²+ y²+ 14x - 2y = -1.

a)

center = (-7, 2) radius = 3

b)

center = (-7, 1) radius = 7

c)

center = (-4, 1) radius = 7

d)

center = (-4, 2) radius = 3

111.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

112.

Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

113.

570° is found in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

114.

Which represents $-375\degree$ in standard position?

a)

A

b)

B

c)

C

d)

D

115.

Which represents $640\degree$ in standard position?

a)

A

b)

B

c)

C

d)

D

116.

Which represents $-\frac{13\pi}{4}$ in standard position?

a)

A

b)

B

c)

C

d)

D

117.

Which represents $\frac{25\pi}{18}$ in standard position?

a)

A

b)

B

c)

C

d)

D

2023 Accel Adv Alg U1 Circles Midterm Review

Total questions: 117

Worksheet time: 29hrs 15mins

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