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Area: Circles and Such

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

C= 15πC=\ 15\pi

b)

C= 2π15C=\ 2\pi\cdot15

c)

C = 15πC\ =\ \frac{15}{\pi}

2.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

3.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
4.
What is the area of a circle?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
5.

Circumferences are to circles as _____________________________ are to polygons.

a)

Area

b)

Volume

c)

Perimeter

d)

Surface Area

6.
What region of a circle is defined as the region bounded by two radii and their intercepted arc.
a)
sector
b)
segment
c)
arc
d)
angle
7.
Which of the following equations cannot be used to find the circumference of a circle?
a)
C=πd
b)
C=2πr
c)
C=πr2
d)
C=dπ
8.

What is the Area of a Sector with radius r and an angle  θ=45\theta=45  ?

a)

 12πr2\frac{1}{2}\pi r^2  

b)

 18πr2\frac{1}{8}\pi r^2  

c)

 4πr24\pi r^2  

d)

 2πr2\pi r^{ }  

9.

In a regular polygon, the line from the center to an outer vertex is a(n)

a)

Apothem

b)

Central Angle

c)

Radius

d)

Regular Polygon

10.

In a regular polygon the line from the center to the mid-point of an outer side is a(n)

a)

Radius

b)

Central Angle

c)

Sine

d)

Apothem

11.

What is the formula for area of a regular polygon.

a)

½⋅apothem⋅perimeter

b)

a2 + b2 = c2

c)

πr2

d)

√x2+y2

12.

The bases are the same length. The height of one parallelogram is twice the height of the other. What is the ratio of the areas of these parallelograms?

a)

1/2

b)

2/1

c)

1/4

d)

1/3

13.

The height and lengths of the bases of one trapezoid are all twice those of the other trapezoid. Find the ratio of the areas.

a)

4/1

b)

1/4

c)

1/2

d)

2/1

14.

The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?

a)

4 : 5

b)

16 : 25

c)

64 : 125

d)

8 : 10

15.

Find the missing perimeter.

a)

15

b)

20

c)

25

d)

30