Free Printable UNIT 8 REVIEW CIRCLES

1.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

2.

What is the measure of arc FE?

a)

54°

b)

126°

c)

117°

d)

31.5°

3.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

4.

What is x?

a)

5

b)

23

c)

2

d)

28

5.

Solve for x.

a)

86

b)

12

c)

11

d)

94

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

$m\angle EGF=$

a)

74°

b)

106°

c)

180°

d)

53°

9.

$m\angle EFH=$

a)

74°

b)

37°

c)

90°

d)

53°

10.

$m\angle HGF=$

a)

74°

b)

37°

c)

90°

d)

53°

11.

What is the measure of arc EFH?

a)

286°

b)

360°

c)

254°

d)

74°

12.

$m\angle DAE=$

a)

100°

b)

25°

c)

50°

d)

90°

13.

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

14.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

15.

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

a)

x²+y²=4

b)

x²+y²=81

c)

x²+y²=9

16.

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)

17.

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

18.

The point (-3, 4) is on a circle with center (1, -1). Write the standard equation of the circle.

a)

(x + 1)²+ (y - 1)²= 41

b)

(x - 1)²+ (y + 1)²= 16

c)

(x + 1)²+ (y - 1)²= 1681

d)

(x - 1)²+ (y + 1)²= 41

19.

The point (3,3) is on a circle whose center is at (-1,3). Write the standard form of the equation of the circle.

a)

(x-3)²+(y-3)²=4

b)

(x-3)²+(y-3)²=16

c)

(x+1)²+(y-3)²=9

d)

(x+1)²+(y-3)²=16

20.

What is the center and radius of a circle with the equation, (x-1)² + (y-3)² = 4

a)

Center is (1,3) and radius is 2

b)

Center is (3,1) and radius is 2

c)

Center is (3,2) and radius is 1

d)

Center is (2,3) and radius is 1

21.

A circle has a center at $\left(4,\ -1\right)$ and a radius of 6. Select all of the following that are points on the same circle.

a)

$\left(-2,-1\right)$

b)

$\left(4,\ -7\right)$

c)

$\left(0,\ -5\right)$

d)

$\left(8,\ -5\right)$

e)

$\left(10,\ -1\right)$

22.

Find the length of the bold arc.

a)

54.7 mi

b)

335.1 mi

c)

16.8 mi

d)

33.5 mi

23.

Find the length of the bold arc.

a)

2.1 mi

b)

44 mi

c)

703.7 mi

d)

88 mi

24.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

25.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

26.

Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

27.

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.

28.

Which graph corresponds to
(x-4)²+ (y+4)²=25

a)

A

b)

B

c)

C

d)

D

29.

Which points lie on the circle represented by the equation (x+2)²+ (y+2)² = 25

a)

(-2, -2)

b)

(6,4)

c)

(8,8)

d)

(-6, -5)

e)

(-2, -7)

30.

What is the length of an arc that measures $180\degree$ if the radius is 6 meters?

a)

arclength = $180\degree$

b)

arclength = 6 meters

c)

arclength = $6\pi$ meters

d)

arclength = $12\pi$ meters

31.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

32.

Find the area of the sector with a radius of 3m and measure of 150 degrees.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

33.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

34.

Find the length of the arc. Leave answer in terms of pi.

a)

$6\pi$ inches

b)

$27\pi$ inches

c)

$18\pi$ inches

d)

$12\pi$ inches

35.

Find the length of the arc. Leave answer in terms of pi.

a)

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

b)

$\frac{15\pi}{2}$ feet

c)

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

d)

$9\pi$ feet

36.

Find the length of the arc. Leave answer in terms of pi.
The diameter is 16.4 m.

a)

$8.2\pi$ m

b)

$16.4\pi$ m

c)

$134.48\pi$ m

d)

$268.96\pi$ m

37.

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

a)

1.75π

b)

3.5π

c)

1/8π

d)

45π

38.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

39.

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

a)

5.42π cm

b)

17.02 cm

c)

35.21π cm

d)

26π cm

40.

Q1. What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

41.

What is the area of the shaded region? Leave Your answer in terms of pi.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

42.

What is the area of the shaded sector? Leave Your Answer in terms of pi.

a)

221π/36

b)

3757π/72

c)

3757π/18

d)

None of these

43.

Find the area of the shaded sector of the circle.

a)

b)

c)

d)

44.

Find the diameter of a circle with a circumference of 65.97 meters.

a)

3.2 m

b)

10.5 m

c)

21 m

d)

33 m

45.

Find the circumference of a circle with an area of 1,809.56 square centimeters.

a)

17.0 cm

b)

288.0 cm

c)

150.8 cm

d)

106.8 cm

46.

Find the radius of a circle with an area of 615.75 square kilometers. Round your answer to the nearest whole number.

a)

r = 14 km

b)

r = 196 km

c)

r = 25 km

d)

r = 28 km

47.

Find the diameter of a circle with a circumference of 45pi cm. Round your answer to the nearest tenth.

a)

d = 45 cm

b)

d = 22.5 cm

c)

d = 14.3 cm

d)

d = 7.2 cm

48.

If my circumference is 50.24ft, what is my radius?

a)

8ft

b)

16ft

c)

25.12ft

d)

50.24ft

49.

Solve for x. Assume that lines which appear to be diameters are diameters.

a)

6

b)

5

c)

7

d)

-8

50.

What is the value of x?

a)

5

b)

7

c)

19

d)

35

51.

Find x.

a)

x=5

b)

x=-5

c)

x=115

d)

x=120

52.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

53.

Find the measure of angle C.

a)

$118\degree$

b)

$138\degree$

c)

$274\degree$

d)

$69\degree$

54.

Find the measure of angle FGH

a)

$45\degree$

b)

$180\degree$

c)

$90\degree$

d)

$75\degree$

55.

Solve for x.

a)

90

b)

12

c)

47

d)

45

56.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

57.

a)

46

b)

5

c)

90

d)

1.8

58.

a)

7

b)

44

c)

8

59.

A circle has a center at (1, 1). The radius is 3. Which of the following points is a point on the circle?

a)

$\left(0,\ -1\right)$

b)

$\left(-1,\ 3\right)$

c)

$\left(4,\ 1\right)$

d)

$\left(3,\ 3\right)$

60.

The equation of a circle is represented by $x^2+y^2\ =\ 100$
Select all the points below that are on the circle.

a)

$\left(5,\ 8\right)$

b)

$\left(8,\ 6\right)$

c)

$\left(10,\ 0\right)$

d)

$\left(6,\ -8\right)$

e)

$\left(3,\ -9\right)$

61.

A circle is modeled by the equation $\left(x-3\right)^2+\left(y\ +3\right)^2\ =\ 25$ .
Which of the following are also points on the circle.

a)

$\left(7,\ 0\right)$

b)

$\left(5,\ 2\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(0,\ -7\right)$

e)

$\left(3,\ -8\right)$

62.

A circle has center $\left(4,\ -2\right)$ and a radius of 7. Which of the following points is also a point on the circle?

a)

$\left(8,\ 4\right)$

b)

$\left(11,\ -2\right)$

c)

$\left(7,\ -8\right)$

d)

$\left(-3,\ -3\right)$

63.

Find the equation of a circle with center (2, -3) and passing through the point (5, 1).

a)

(x - 2)^2 + (y + 3)^2 = 25

b)

(x + 2)^2 + (y - 3)^2 = 16

c)

(x - 2)^2 + (y + 3)^2 = 16

d)

(x + 2)^2 + (y - 3)^2 = 25

64.

Determine the equation of a circle with center (-1, 4) and a point on the circle at (3, -2).

a)

(x+1)^2 + (y-4)^2 = 52

b)

(x-1)^2 + (y-4)^2 = 42

c)

(x+1)^2 + (y+4)^2 = 52

d)

(x-1)^2 + (y+4)^2 = 52

65.

Calculate the equation of a circle with center (0, 0) and passing through the point (-2, 3).

a)

x^2 + y^2 = 5^2

b)

x^2 + y^2 = r^2

c)

x^2 + y^2 = 4^2

d)

x^2 + y^2 = 3^2

66.

Find the equation of a circle with center (4, -5) and a point on the circle at (-1, 2).

a)

(x - 4)^2 + (y + 5)^2 = 74

b)

(x + 4)^2 + (y - 5)^2 = 64

c)

(x - 4)^2 + (y + 5)^2 = 64

d)

(x + 4)^2 + (y - 5)^2 = 74

67.

Determine the equation of a circle with center (-3, 2) and passing through the point (1, -4).

a)

(x - 3)^2 + (y + 2)^2 = 52

b)

(x + 3)^2 + (y - 2)^2 = 52

c)

(x - 3)^2 + (y - 2)^2 = 36

d)

(x + 3)^2 + (y + 2)^2 = 36

68.

Calculate the equation of a circle with center (2, 2) and a point on the circle at (6, 6).

a)

(x - 2)^2 + (y - 2)^2 = 64

b)

(x - 2)^2 + (y - 2)^2 = 32

c)

(x - 2)^2 + (y - 2)^2 = 8

d)

(x - 2)^2 + (y - 2)^2 = 16

69.

Find the equation of a circle with center (-2, 3) and passing through the point (4, -1).

a)

(x - 2)^2 + (y + 3)^2 = 52

b)

(x - 2)^2 + (y - 3)^2 = 52

c)

(x + 2)^2 + (y - 3)^2 = 52

d)

(x + 2)^2 + (y + 3)^2 = 52

70.

Determine the equation of a circle with center (1, -4) and a point on the circle at (-3, 2).

a)

(x - 1)^2 + (y + 4)^2 = 52

b)

(x + 1)^2 + (y - 4)^2 = 48.

c)

(x - 1)^2 + (y + 4)^2 = 48.

d)

(x + 1)^2 + (y - 4)^2 = 52.

UNIT 8 REVIEW CIRCLES

Total questions: 70

Worksheet time: 18hrs 30mins

Similar Resources on Wayground