Question

Mandy loves to eat New York pizza. Each square inch of pizza is 10 calories. She orders a slice of pizza from a pizza with a diameter of 20 inches that is cut with a central angle of 50 degrees. How many calories does she eat?
about 314 calories

about 436 calories

about 3,142 calories

about 43 calories

Answer 1

The area of the pizza slice can be determined by the area of the whole circle multiplied by the percentage of the circle, the slice takes up.

Answer 2

Area of a circle is
\[\pi r^2\]
Radius is 10 inches.
If it is cut with 50 degree angle, then 50/360 is eaten.
Find the area of the circle:
\[\pi (10)^2\]
Multiply by \[\frac{50}{360}\]
You will get around 43.

Answer 3

its not 43

Answer 4

Oops sorry. Forgot to account for the fact that each square inch is 10 calories. So multiply that by 10, or 436.

Answer 5

I got 436.33 but need to check my work. Especially after I missed the first problem in this series.