All Things Circles
This mathematical constant is often used to calculate the circumference of a circle.
If there are 20 boys and 25 girls in a class, what is the ratio of boys to girls?
4:5
If the scale factor between two similar figures is 3:2, and the smaller figure has a side length of 4 units, what is the corresponding side length of the larger figure?
6 units
Positive times a Positive
Positive
If the radius of a circle is 5 units, what is the circumference of the circle?
31.42 units
Given the ratios 5:8 and 15:24, are they proportional?
yes
If a map has a scale of 1 inch represents 10 miles, and two locations are 2 inches apart on the map, what is the actual distance between them?
20 Miles
Negative times a positive
Negative
To calculate the area of a circle, you use this formula involving the radius.
πr²
When graphing proportional relationships, what are the three criteria the graph must have?
Must form a straight line
Must go through the origin
Must have a constant
What is a scale factor
A number you multiply by to enlarge or reduce your item
Negative times a negative
Positive
If the diameter of a circle is 12 units, what is its radius?
6 units
What is the formula to figure out a constant, or a unit rate?
If the scale factor between two similar triangles is 1:3, and the smaller triangle has an area of 12 square units, what is the area of the larger triangle?
36 square units
Represent a loss of 5 yards as an integer
-5
The circumference of a circle is equal to this mathematical expression involving the diameter.
π times the diameter
Given the ratios 2:5 and 6:15, are these ratios proportional?
Yes
If a model car is a scaled-down version of a real car with a scale factor of 1:24, and the real car is 12 feet long, what is the length of the model car?
6 inches
What is the definition of absolute value
The distance from 0