High School Math : How to find the percentage of a sector from an angle
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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
$0
$5.40
$2.70
–$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.
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