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Worksheets

Sector Area & Arc Length

Total questions: 12

Worksheet time: 41mins

Name
Class
Date
1.

find the area

a)

100 cm2

b)

225 cm2

c)

9 cm2

d)

28.26 cm2

2.

Find the area of the circle

a)

56.52 in2

b)

254.34 in2

c)

1017.36 in2

d)

113.04 in2

3.

is the formula for?

a)

Arc length when θ is in degrees

b)

Arc length when θ is in radians

c)

Sector area when θ is in degrees

d)

Sector area when θ is in radians

4.

is the formula for?

a)

Arc length when θ is in radians

b)

Arc length when θ is in degrees

c)

Sector area when θ is in degrees

d)

Sector area when θ is in radians

5.

What is the circumference?

a)

48 cm

b)

96 cm

c)

24 cm

d)

18 cm

6.

What is the circumference?

a)

36 ft

b)

18π ft

c)

108π ft

d)

36π ft

7.
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.
8.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

9.

If Pacman's mouth, when open, is /18 radians and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

a)

161.97 mm2

b)

What's Pacman?

c)

39.1 mm2

d)

9.77 mm2

10.

What is the length of the arc from Tasha's dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40 ft

b)

35 ft

c)

55 ft

d)

69 ft

11.

What formula is this?

a)

Arc length when θ is in radians

b)

Arc length when θ is in degrees

c)

Sector Area when θ is in radians

d)

Sector Area when θ is in degrees

12.

What formula is this?

a)

Arc length when θ is in radians

b)

Arc length when θ is in degrees

c)

Sector Area when θ is in radians

d)

Sector Area when θ is in degrees