Question

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

Answer 1

Answer:

b) should be preferred

Step-by-step 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 = $\frac{x}{360} (\pi r^2)$

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

Comparing one radian and 60 degrees, we get

60 degrees = $\frac{60}{180}\pi =\frac{3.14}{3} \\=1.0467$ radians

Since 60 degrees is more

b) should be preferred

Answer 2

Answer:

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