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Arc Length and Sector Area

Total questions: 12

Worksheet time: 24mins

Name
Class
Date
1.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
2.

Which answer is closest to the area of this sector?

a)

52.4 in2

b)

18,864 in2

c)

60 in2

d)

10.47 in2

3.

Calculate the exact length of the bold arc.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

4.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
5.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
6.

Calculate the area of the sector.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

7.

What is the area of the shaded SECTOR?

a)

12π12\pi cm2

b)

36π36\pi cm2

c)

24π24\pi cm2

d)

6π6\pi cm2

8.

Calculate the ARC LENGTH of the red sector.

a)

10π3\frac{10\pi}{3} in

b)

50π3\frac{50\pi}{3} in

c)

20π20\pi in

d)

100π100\pi in

9.

What is the circumference of this circle with a diameter of 12cm?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

10.

what is the area of this semicircle with a diameter of 8 cm?

a)

100.48cm2

b)

80cm2

c)

200.96cm2

d)

none of the above

11.
A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of EACH stained glass section?  Express answer to the nearest square foot.
a)
1 ft2
b)
13 ft2
c)
3 ft2
d)
26 ft2
12.

The regular hexagon has side lengths of 6cm. What is the total area of the shaded parts created by the semicircles on each side?

a)

9π cm29\pi\ cm^2

b)

216π cm2216\pi\ cm^2

c)

54π cm254\pi\ cm^2

d)

36π cm236\pi\ cm^2