Answer: approximately 11 degrees
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Explanation:
If the radius is r = 14, then the area of the full circle is
A = pi*r^2
A = 3.14*14^2
A = 615.44
The area of the full circle is roughly 615.44 cm^2
However, the pizza slice area is only 18.48 cm^2
Divide the two values: (18.48)/(615.44) = 0.030027
The pizza slice is roughly 3% of the full circle.
Multiply that decimal result with 360 to get the final answer
0.030027*360 = 10.80972
That rounds to approximately 11 degrees
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Here's another example:
Let's say the full circle area was 100 cm^2 and the pizza slice was 25 cm^2. We can see that 25/100 = 0.25 = 25% of the full area is the pizza slice
25% of 360 = 0.25*360 = 90 degrees would be the central angle, which is basically what we expect when we cut the circle into 4 equal slices.
