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Area and circumference of circles, arcs, sectors

Total questions: 20

Worksheet time: 2hrs 47mins

Name
Class
Date
1.
What is the area of the shaded region? Round to the nearest hundredth.
a)
1.26
b)
452.39
c)
113.10
d)
40715.04
2.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
3.

What is the distance marked off by L called?

a)

circumference

b)

tangent

c)

arc length

d)

sector

4.

What is the green area called?

a)

sector

b)

segment

c)

arc

d)

section

5.
Find the length of the bold arc.
a)
61.3ft
b)
20.4ft
c)
7351.3ft
d)
22,068ft
6.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.27 cm

7.

Find the circumference of the circle.

a)

113.04

b)

1017.36

c)

254.34

d)

56.55

8.

Meg swam from one side of her circular pool to the other side going through the center. If Meg swam 8 feet, what is the approximate circumference of Meg's pool?

a)

16 feet

b)

25.13 feet

c)

251.2 feet

d)

4 feet

9.
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
10.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
11.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
12.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
13.
The homeowners association wants to enclose a circular playground in a fence. The need to find the amount of fencing they need to purchase.  Will they need the area or circumference of the playground?
a)
area
b)
circumference
c)
neither
14.
Danielle wants to make a cookies for 3 friends. The radius of a cookie is 5 inches. If she wants to ice ALL 3 of the cookies, how many square inches of cookies must she cover with icing?
a)
47.1 in2
b)
235.5 in2
c)
78.5 in2
d)
15.7 in2 
15.

A circle has a circumference of 36π meters. What is the radius of the circle?

a)

36 meters

b)

6 meters

c)

12 meters

d)

18 meters

16.
A Circle has a radius of 6 inches.  What is the area of the circle? (Best Choice)
a)
3π or about 9.42 in2
b)
6π or about 18.84 in2
c)
12π or about 37.68 in2
d)
36π or about 113.04 in2 
17.
What is the area of the shaded region?
a)
50.27 units2
b)
3015.93 units2
c)
8.38 units2
d)
4.19 units2
18.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

19.

What is the area of the shaded sector?

a)

40π/9 (13.96)

b)

400π/9 (139.6)

c)

80π/9 (27.9)

d)

1600π/9 (558.5)

20.

What is/are the formula(s) to find the area of a circle?

a)

πr2

b)

2πr

c)

√π