Question

After dinner, your aunt serves slices of apple pie. Would you rather have a slice with a central angle equal to

(a) one radian
(b) 60 degrees?
You must choose (a) or (b) and explain why you chose one over the other.

Answer 1

b) 60 degrees because one radian is approximately 57.29 degrees so you'd probably go with 60 because you'd want more pie

Answer 2

b) should be preferred

Explanation:

Given that after dinner, your aunt serves slices of apple pie.

Central angle of a circle determines the area of the sector

Slice of apple pie here represents the sector area.

Area of a sector =
`(x)/(360) (\pi r^2)`

i.e. when central angle increases area also increases.

Comparing one radian and 60 degrees, we get

60 degrees =
`(60)/(180)\pi =(3.14)/(3) \\=1.0467` radians

Since 60 degrees is more

b) should be preferred