High School Math : How to find the percentage of a sector from an angle
Study concepts, example questions & explanations for High School Math
All High School Math Resources
Example Questions
Example Question #1 : Circles
Two pizzas are made to the same dimensions. The only difference is that Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are sold by the piece, the first for $1.95 per slice and the second for $2.25 per slice. What is the difference in total revenue between Pizza 2 and Pizza 1?
–$2.70
–$5.40
$2.70
$0
$5.40
–$5.40
First, let's calculate how many slices there are per pizza. This is done by dividing 360° by the respective slice degrees:
Pizza 1: 360/30 = 12 slices
Pizza 2: 360/45 = 8 slices
Now, the total amount made per pizza is calculated by multiplying the number of slices by the respective cost per slice:
Pizza 1: 12 * 1.95 = $23.40
Pizza 2: 8 * 2.25 = $18.00
The difference between Pizza 2 and Pizza 1 is thus represented by: 18 – 23.40 = –$5.40
Example Question #3 : Circles
What percentage of a full circle is the following sector? (Round to the nearest tenth of a percent.)
Note: The figure is not drawn to scale.
In order to find the percentage of a sector from an angle, you need to know that a full circle is 
Therefore, we can find the percentage by dividing the angle of the sector by 
Example Question #1 : Circles
A sector of a circle contains a center angle that is 36 degrees. What percentage of the circle is the sector?
Proportions can be used to determine the percentage. Let 
Cross multiply
Solve for x.
All High School Math Resources
