How to find the percentage of a sector from an angle
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SAT Math › How to find the percentage of a sector from an angle
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?
\$0
–\$2.70
\$2.70
\$5.40
–\$5.40
Explanation
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