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Worksheets

circles

Total questions: 26

Worksheet time: 2hrs 10mins

Name
Class
Date
1.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

2.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

3.

Name the pictured part of the circle.

a)

Center

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

4.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

5.

Which of the following is the formula for the CIRCUMFERENCE of a circle?

a)

2πr2\pi r  

b)

πd\pi d  

c)

2πr22\pi r^2  

d)

πr2\pi r^2  

6.

Which of the following is the formula for the AREA of a circle?

a)

2πr2\pi r  

b)

πd\pi d  

c)

2πr22\pi r^2  

d)

πr2\pi r^2  

7.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

8.

What is this the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

9.

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)

25.2 in2

b)

28.5 in2

c)

31.4 in2

d)

38.2 in2

10.

Find the area of the circle. When a number is written next to the center of the circle, it represents the diameter length. The diameter is 18 in.

a)

56.52 in2

b)

254.34 in2

c)

1017.36 in2

d)

113.04 in2

11.
What is the area of the shaded sector?
a)
743.61 cm2
b)
655.39 cm2
c)
163.85 cm2
d)
None of the above
12.

If the radius of the circle is 7cm, calculate the perimeter of the sector in bold.

Use π\pi  as 3.142

a)

83 cm

b)

10.14 cm

c)

24.14 cm

d)

24.15 cm

13.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
14.

Which of the following shows the correct working out when finding the ARC LENGTH of the sector shown in the diagram?

a)

45360×(2×12)\frac{45}{360}\times\left(2\times12\right)

b)

45360×(2×π×12)\frac{45}{360}\times\left(2\times\pi\times12\right)

c)

45×2×π×1245\times2\times\pi\times12

d)

36045×(2×π×12)\frac{360}{45}\times\left(2\times\pi\times12\right)

15.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
16.

Find the perimeter of the sector.

a)

2.09m

b)

301.59m

c)

8.00 m

d)

10.09 m

17.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
18.
What is the area of the shaded sector?
a)
339.12 in2
b)
113.04 in2
c)
339.29 in2
d)
None of the above
19.

Is the shaded region a major or minor sector?

a)

major sector

b)

minor sector

20.

is the formula for?

πr2 ×(θ°360°)\pi r^2\ \times\left(\frac{\theta\degree}{360\degree}\right)  

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

21.

Calculate the perimeter of the sector. Round to 2 decimal places.

a)
346.36 mm
b)

74.99 mm

c)
32.99 mm
d)

42.42 mm

22.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
23.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
24.

A circular swimming pool is 21 feet in diameter.

How many feet around is the pool?

a)

10.5 ft

b)

42 ft

c)

65.97 ft

d)

131.95 ft

25.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
26.

which segment above represents the radius

a)

AC

b)

AB

c)

LM