Scale Factor
Basic Angle Relationship Questions
Solve Equations Using Angles
Using Circumference of a Circle
100

In a scale drawing 1 inch - 3 feet. If the image is 10 inches long, what is the actual length?

30 inches

100

Which angle is vertical to angle 3?


angle 5

100

Solve for x.


x = 15

100

If the diameter of a circle is 5, what is the circumference?

15.7 or 15.71

200

In a scale drawing, 2.5 inches = 3 feet. If the width of the image is 6 inches, what is the actual width?

7.2 feet.

200

What angle relationship is shown below?


Supplementary Angles

200

Solve for x.


x = 47

200
If the radius of a circle is 6.5. What is the circumference?

40.82 OR 40.84

300

In a drawing of a living room, 2 inches = 5 feet. If the width is 10 inches and the length is 14 inches, find the actual area of the living room. 

875 feet2

300

What type of angles are 3 and 4?


Complementary Angles

300

Solve for x.

x = 10

300

If the radius of a circle is three-fourths, what is the circumference?

4.71 

400

In a drawing of a basketball court, 2.5 cm = 4.5 feet. If the court is 11.5 cm by 12.75, find the actual area of the court. 

475.06 feet2

400

What is the equation for these angles?


10 + 8x = 90

400

What is the angle measure of angle QSP?

27 degrees

400

If the CIRCUMFERENCE of a circle is 35, what is the diameter?


Use formula: C = pi * d

About 11.14

500

In a blueprint of a bedroom, 2 inches = 7 feet. If the garden measures 10 inches by 20 inches, how much would it cost to carpet the whole bedroom if it $0.25 per square foot. 


Hint: You have to find the actual area first!)

$612.50

500

Write the equation for this angle relationship.


x+4 + x + 4 + x + 4 = 90


or 3x + 12 = 90

500

Solve for x.

x = 4

500

If the CIRCUMFERENCE of a circle is 51, what is the diameter?


C = pi*d

About 16.23