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Unit 7A - Triangles, Cross Sections & Circles

Total questions: 51

Worksheet time: 13hrs 45mins

Name
Class
Date
1.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
2.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
3.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
4.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
5.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
6.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

7.
Describe the cross section.
a)
triangle
b)
rectangle
c)
oval
d)
trapezoid
8.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
9.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
10.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
11.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
12.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
13.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
14.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

15.

Will these three sides form a triangle?

a)

yes

b)

no

16.

Will these line segments form a triangle?

a)

yes

b)

no

17.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

18.
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?
a)
16 inches
b)
5 inches
c)
32 inches
d)
29 inches
19.
Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.
a)
yes
b)
no
20.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
21.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

22.

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: 3ft, 7ft, and 8ft. Can she build a closed triangular pen with these three boards? (Will these three sides make a triangle?)

a)

Yes

b)

No

23.

What is the circumference of a circle with a radius of 3 cm?

a)

18.9 sq. cm

b)

28.3 cm

c)

18.9 cm

d)

28.3 sq. cm

24.
What formula is this used for:
πr²
a)
Circumference 
b)
Area
c)
Surface Area
d)
Volume
25.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
26.
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
27.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
28.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
29.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
30.
If the diameter of a circle is 10 mm, the circumference is approximately ___
a)
314 mm
b)
3.14 mm
c)
31.4 mm
d)
20 mm
31.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
32.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
33.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
34.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
35.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
36.

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

a)

31.25 m2

b)

29.55 m2

c)

30.36 m2

d)

50.27 m2

37.

Find the area of a circle if you are given a diameter of 2.5 inches. Use 3.14 for π and round to the nearest tenths place

a)

5 inches2

b)

4.8 inches2

c)

4.89 inches2

d)

4.9 inches2

38.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
c = 2π15
c)
c = π(15²)
d)
c = π(7.5²)
39.
The diameter of Carol's old records from the 80s is 12 inches. Which equation would help you determine the area?
a)
A = 12π
b)
A = 2π12
c)
A = π(12²)
d)
A = π(6²)
40.
A minute hand (radius) of a clock is 13.8 meters long. What is the circumference of the clock?
a)
86.66 meters
b)
76.66 meters
c)
66.66 meters
d)
96.66 meters
41.
What is the circumference of a circle with a radius of 21 cm?
a)
131.9 cm
b)
121.9 cm
c)
111.9 cm
d)
141.9 cm
42.
If a Circle has a radius of 3 cm and a diameter of 6cm , what is the circumference of the circle? 
a)
9.42 cm
b)
18.84 cm
43.

If a circle has a circumference of 26.69 yards, what is it's diameter?

a)

8.5 yards

b)

83.8 yards

c)

4.2 yards

d)

17.6 yards

44.
If a circle has a diameter of 45 feet, what is its radius?
a)
90 feet
b)
22.5 feet
c)
45 feet
d)
180 feet
45.
The diameter of a circle is 7.5 inches. What is it's radius?
a)
3.75 inches
b)
15 inches
c)
23.55 inches
46.
A circle has a radius of 150 mm. What is it's circumference? 
a)
471 mm
b)
942 mm
c)
47.7 mm
47.
What is the correct formula for the Area of a Circle? 
a)
A= π x d
b)
A = π x d²
c)
A= π x r²
48.
What is the area of a circle that has a radius of 100 miles?
a)
7,850 miles 
b)
10,000 miles
c)
31,400 miles
49.
Find the area for a circle with a diameter of 8 feet. 
a)
200.96 feet 
b)
25.12 feet 
c)
12.56 feet 
d)
50.24 feet
50.
What is the area of a circle with a radius of 14.4 meters?
a)
651.1 meters
b)
2604.44 meters
c)
162.7 meters
51.
Ms. Boyett wants to build a circular swimming pool with a fountain in the center. She wants the fountain to be 18.6 feet from the edge of the pool. What would the distance be around the outside of the pool? 
a)
116.8 yards
b)
58.4 feet
c)
58.4 yards
d)
116.8 feet

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