Free Printable Geometry Circle Arc Length

1.

Find the length of the arc

a)

25pi/18

b)

125pi/90

c)

16pi/3

d)

20pi/3

2.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

3.

a)

1

b)

2

c)

3

d)

4

4.

Find the length of arc AB. Round to the nearest tenth. Enter only a number in the blank.

*we have not learned radian measurements yet, so you should assume that 3pi/4 is equal to 135 degrees.

5.

a)

A

b)

B

c)

C

d)

D

6.

Find the length of the 45 degree arc.

a)

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

b)

$\frac{7\pi}{2}$

c)

$\frac{\pi}{8}$

d)

45π

7.

Find the length of the bolded arc.

a)

210

b)

19

c)

69.6

d)

661.6

8.

Calculate the length of the bold arc.

a)

61.3 ft

b)

20.4 ft

c)

7351.3 ft

d)

22,068 ft

9.

Find the length of the bold arc.

a)

61.3ft

b)

20.4ft

c)

7351.3ft

d)

22,068ft

10.

Find the length of the arc.

a)

$\frac{11\pi}{2}$

b)

$\frac{26\pi}{3}$

c)

$\frac{121\pi}{4}$

d)

$\frac{19\pi}{6}$

11.

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.

a)

5

b)

9

c)

8

d)

6

12.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

13.

What is the arc length for the given major arc (round to the nearest hundredths)?

a)

44.0

b)

176

14.

Find the length of arc AB. Round to the nearest tenth. Enter only a number in the blank.*we have not learned radian measurements yet, so you should assume that 3pi/4 is equal to 135 degrees.

15.

In the figure above, circle O has a radius of 8, and angle XOY measures $\frac{5}{16}\pi$ radians. What is the measure of minor arc XY?

a)

$\frac{5}{16}\pi$

b)

$\frac{5}{2}\pi$

c)

$5\pi$

d)

$16\pi$

16.

If MK is 10m, find the length of arc MKL

a)

19.02 m

b)

218 m

c)

25.62 m

d)

49.74 m

17.

What is the length of arc HFS?

a)

$3\pi$

b)

$4\pi$

c)

$8\pi$

d)

$24\pi$

18.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

19.

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

a)

150°

b)

100°

c)

210°

d)

105°

20.

Find the measure of <XTY

a)

65

b)

98

c)

70

d)

52

Geometry Circle Arc Length

Total questions: 20

Worksheet time: 20mins

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