Help - Why is it 1/3 times the area of the circle here?
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[Originally posted in the Discussions]
Why is it 1/3 times the area of the circle here? Where does the circle come in because the shaded area doesn't even cover the whole circle? And why just multiply it by 1/3?
Prof. Loh is referring here to the area of the green wedge, which is shaped like a big pizza slice. The "V" angle of the slice is of measure 120 degrees, which is one-third of the circle (a circle has 360 degrees in total).
Imagine you were cutting a huge apple pie into three gigantic slices; each person would get one-third of the whole piece, and each person's piece would be approximately the same shape as the green wedge above.
The Daily Challenge Team