Free Printable Honors Geometry Circles Unit Review

1.

Find the radius of a circle with an area of 615.75 square kilometers

a)

14 km

b)

28 km

c)

24.8 km

d)

12.4 km

2.

Find the diameter of a circle with a circumference of 15.71 yards

a)

5 yd

b)

2.5 yd

c)

10 yd

d)

4 yd

3.

Find the diameter of a circle with an area of 415.48 square inches.

a)

11.5 in

b)

132.3 in

c)

23 in

d)

20.4 in

4.

Find the radius of a circle with a circumference of 125.66 feet.

a)

11.2 ft

b)

20 ft

c)

40 ft

d)

80 ft

5.

Find the diameter of a circle with an area of $240.25\pi\ mm^2$

a)

31 mm

b)

76.5 mm

c)

8.7 mm

d)

15.5 mm

6.

Find the radius of a circle with a circumference of $45\pi\ cm$

a)

6.7 cm

b)

4.7 cm

c)

45 cm

d)

22.5 cm

7.

Find the area of a circle with a circumference of $11\pi\ ft$

a)

$3.3\pi\ ft^2$

b)

$5.5\pi\ ft^2$

c)

$30.25\pi\ ft^2$

d)

$11\pi\ ft^2$

8.

Find the circumference of a circle with an area of $676\pi\ mm^2$

a)

$107.6\pi\ mm$

b)

$52\pi\ mm$

c)

$104\pi\ mm^2$

d)

$26\pi\ mm$

9.

Find the circumference of a circle with an area of $1,134.11\ m^2$

a)

$19\pi\ m$

b)

$180.5\pi\ m$

c)

$13.5\pi\ m$

d)

$38\pi\ m$

10.

Find the area of a circle with a circumference of $53.41\ in$

a)

$72.25\pi\ in^2$

b)

$8.5\pi\ in^2$

c)

$26.7\pi\ in^2$

d)

$17\pi\ in^2$

11.

Find the measure (in degrees) of arc KL.

(a)

12.

Find the measure (in degrees) of arc LON.

(a)

13.

Find the measure (in degrees) of arc LNM.

(a)

14.

Find the measure (in degrees) of arc TQ

(a)

15.

Find the measure (in degrees) of arc RT

(a)

16.

Find the measure (in degrees) of arc TQS.

(a)

17.

Find the measure (in degrees) of arc RQT.

(a)

18.

Find the measure (in degrees) of arc YV

(a)

19.

Find the measure (in degrees) of arc UXV.

(a)

20.

Find the measure (in degrees) of arc XU.

(a)

21.

Find the measure (in degrees) of arc XVW.

(a)

22.

Find the value of x.

(a)

23.

Find the value of x.

(a)

24.

Find the measure (in degrees) of arc AD.

(a)

25.

Find the measure (in degrees) of arc ACE.

(a)

26.

If segment GH bisects angle DHG, the measure of arc GF = $\left(2x+6\right)$ and the measure of arc DC = $\left(7x-1\right)$ , find the value of x.

(a)

27.

Find the value of x.

(a)

28.

Find the measure (in degrees) of arc GK.

(a)

29.

Find the measure (in degrees) of arc HK

(a)

30.

Find the measure (in degrees) of arc HGK.

(a)

31.

Find the measure (in degrees) of arc CD.

(a)

32.

Find the measure (in degrees) of arc ADC.

(a)

33.

Find the measure of segment UT

(a)

34.

Find the measure of segment WT.

(a)

35.

Find the measure (in degrees) of arc XT

(a)

36.

Find the measure (in degrees) of arc US.

(a)

37.

Find the measure (in degrees) of angle LNM.

(a)

38.

Find the value of x.

(a)

39.

Find the measure (in degrees) of angle ABC.

(a)

40.

Find the measure (in degrees) of arc AC.

(a)

41.

Find the measure (in degrees) of angle WVX.

(a)

42.

Find the measure (in degrees) of arc WX.

(a)

43.

Find the measure (in degrees) of angle DEF.

(a)

44.

Find the measure (in degrees) of angle DGF.

(a)

45.

Find the measure (in degrees) of angle RQS.

(a)

46.

Find the measure (in degrees) of angle QSR.

(a)

47.

Find the measure (in degrees) of arc QT.

(a)

48.

Find the measure (in degrees) of arc TS.

(a)

49.

In the given image, which angle MUST be congruent to angle RSQ?

a)

angle RQT

b)

angle QRS

c)

angle SQR

d)

angle QTR

50.

Find the measure (in degrees) of angle PQR.

(a)

51.

Find the measure (in degrees) of angle RSP.

(a)

52.

Find the measure (in degrees) of arc QSP

(a)

53.

Segment QR is tangent to circle S.

a)

True

b)

False

54.

Segment QR is tangent to circle S.

a)

True

b)

False

55.

Segment QR is tangent to circle S.

a)

True

b)

False

56.

Segment QR is tangent to circle S.

a)

True

b)

False

57.

Assume AB is a tangent line. Find the measure of segment AC.

a)

$\sqrt[]{341}$

b)

$\sqrt[]{541}$

c)

$11$

d)

$341$

58.

Assume JK is a tangent line. Find the value of ML.

a)

$163.84$

b)

$81.92$

c)

$6.4$

d)

$12.8$

59.

Assume WY and XY are tangent lines. Find the value of WY.

(a)

60.

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

(a)

61.

Find the measure (in degrees) of arc VX.

(a)

62.

Find the measure (in degrees) of arc AD.

(a)

63.

Find the measure (in degrees) of arc QS.

(a)

64.

Find the measure (in degrees) of angle JLM.

(a)

65.

Find the measure (in degrees) of angle JLK.

(a)

66.

Find the measure (in degrees) of angle TUV.

(a)

67.

Find the measure (in degrees) of arc HJ.

(a)

68.

Find the measure (in degrees) of arc GH

(a)

69.

Find the value of x.

(a)

70.

Find the value of x.

(a)

71.

Find the value of x.

(a)

72.

If the measure of arc ED = 9x-3, the measure of arc BF = 15x-39 and the measure of angle BCF = 11x-9, find the measure of arc ED.

(a)

73.

If the measure of arc WVX = 13x+9 and the measure of angle WXZ = 5x+36, find the measure of angle WXY.

(a)

74.

If the measure of arc QT = 27x+3, the measure of arc RT = 9x-5, the measure of angle RST = 10x-2, find the measure of arc RT.

(a)

75.

If the measure of angle JKL = 8x-6 and the measure of arc JML = 25x-13, find the measure of arc JML.

(a)

76.

Find the value of x.

(a)

77.

Find the length of the segment FD.

(a)

78.

Find the value of x.

(a)

79.

Find the value of x.

(a)

80.

Find the length of segment LN.

(a)

81.

Find the value of x.

(a)

82.

Find the value of x.

(a)

83.

Find the length of segment XZ

(a)

84.

Find the value of x.

(a)

85.

Find the length of the segment AB.

(a)

86.

Find the value of x.

(a)

87.

Find the value of x.

(a)

88.

Find the value of x.

(a)

89.

Find the value of x.

(a)

90.

Find the value of x.

(a)

91.

Which of these is the correct equation for the circle in the graph?

a)

$\left(x-3\right)^2+\left(y+6\right)^2=2$

b)

$\left(x-3\right)^2+\left(y+6\right)^2=4$

c)

$\left(x+3\right)^2+\left(y-6\right)^2=2$

d)

$\left(x+3\right)^2+\left(y-6\right)^2=4$

92.

Which of these is the correct equation for the circle in the graph?

a)

$\left(x+1\right)^2+\left(y+1\right)^2=9$

b)

$\left(x+1\right)^2+\left(y+1\right)^2=81$

c)

$\left(x-1\right)^2+\left(y-1\right)^2=9$

d)

$\left(x-1\right)^2+\left(y-1\right)^2=81$

93.

Which of these is the correct equation for the circle in the graph?

a)

$x^2+\left(y+2\right)^2=36$

b)

$x^2+\left(y-2\right)^2=36$

c)

$x^2+\left(y+2\right)^2=6$

d)

$x^2+\left(y-2\right)^2=6$

94.

Choose the correct center and radius for the circle defined by the equation: $\left(x-9\right)^2+\left(y-4\right)^2=400$

a)

center = (9, 4)

radius = 20

b)

center = (-9, -4)

radius = 20

c)

center = (9, 4)

radius = 200

d)

center = (-9, -4)

radius = 200

95.

Choose the correct center and radius for the circle defined by the equation: $\left(x-5\right)^2+\left(y-3\right)^2=7$

a)

center = $\left(5,\ 3\right)$

radius = $\sqrt[]{7}$

b)

center = $\left(5,\ 3\right)$

radius = $49$

c)

center = $\left(-5,\ -3\right)$

radius = $\sqrt[]{7}$

d)

center = $\left(-5,\ -3\right)$

radius = $49$

96.

Which equation represents a circle with a center at $\left(-3,\ 3\right)$ and a circumference of $8\pi$

a)

$\left(x-3\right)^2+\left(y+3\right)^2=16$

b)

$\left(x+3\right)^2+\left(y-3\right)^2=64$

c)

$\left(x+3\right)^2+\left(y-3\right)^2=16$

d)

$\left(x-3\right)^2+\left(y+3\right)^2=64$

97.

For the equation $x^2+y^2+8x-6y-25=0$ , which statement below is true?

a)

The center is at $\left(4,\ -3\right)$

b)

The area of the circle is $50\pi$

c)

The circumference of the circle is $25\pi$

d)

It has a diameter of 50 units.

98.

For the equation $x^2+y^2-4x-12y-129=0$ , which statement below is true?

a)

The center is at $\left(2,\ 6\right)$

b)

The area of the circle is $13\pi$

c)

The circumference of the circle is $169\pi$

d)

The diameter is $13$ units.

99.

For the equation $x^2+y^2+14x+10y+73=0$ , which statement below is true?

a)

The center is at $\left(7,\ 5\right)$

b)

The area of the circle is $0.5\pi$

c)

The circumference of the circle is $1\pi$

d)

The diameter of the circle is $2$ units.

100.

For the equation $x^2+y^2-16x-161=0$ , which statement below is true?

a)

The center is at $\left(-8,\ 0\right)$

b)

The area of the circle is $15\pi$

c)

The circumference of the circle is $30\pi$

d)

The diameter of the circle is $225$ units

101.

Choose the correct equation in standard form for the given equation of a circle. $x^2+y^2+26x-2y+138=0$

a)

$\left(x+13\right)^2+\left(y-1\right)^2=32$

b)

$\left(x+26\right)^2+\left(y-2\right)^2=138$

c)

$\left(x-13\right)^2+\left(y+2\right)^2=170$

d)

$\left(x+26\right)^2+\left(y-1\right)^2=170$

102.

Choose the correct equation in standard form for the given equation of a circle. $x^2+y^2-16x-6y+69=0$

a)

$\left(x-8\right)^2+\left(y-3\right)^2=4$

b)

$\left(x-16\right)^2+\left(y-6\right)^2=-69$

c)

$\left(x+8\right)^2+\left(y-3\right)^2=65$

d)

$\left(x-16\right)^2+\left(y-3\right)^2=65$

103.

Choose the correct equation in standard form for the given equation of a circle. $x^2+y^2+6x+30y+223=0$

a)

$\left(x+3\right)^2+\left(y+15\right)^2=11$

b)

$\left(x-3\right)^2+\left(y-15\right)^2=-223$

c)

$\left(x+6\right)^2+\left(y+30\right)^2=223$

d)

$\left(x+3\right)^2+\left(y-30\right)^2=11$

Honors Geometry Circles Unit Review

Total questions: 103

Worksheet time: 17hrs 42mins

Similar Resources on Wayground