Question

If i have an 18 inch pizza, what is it's interior angle and arc length of the slices? What is the area of each slice?

Answer 1

How many slices are there?

Answer 2

i need one for 12 slices and for 14 slices :( please explain?

Answer 3

The diameter is 18

so the circumference is

C = pi*d

C = pi*18

C = 3.14*18

C = 56.52

So the circumference is roughly 56.52 inches

Answer 4

you divide this circumference by 12 to get the arc length of each slice

Answer 5

so i do the same thing for 14? divide this same circumference?

Answer 6

yes

Answer 7

oh ok, Thank you so much!

Answer 8

np

Answer 9

but wait i need to find the interior angle.. how do i do that with the circumference?

Answer 10

and how do i find the area of each slice? do i use the triangle geometry formula?

Answer 11

Area of One Slice = (1/n)*pi*r^2

where n = number of slices and r = radius

Answer 12

So for 12 slices, n = 12

in this case, r = 9, so

Area of One Slice = (1/n)*pi*r^2

Area of One Slice = (1/12)*3.14*9^2

Area of One Slice = 21.195 square inches (roughly)

Answer 13

so whats the formula for interior angles? or do you not know, cause i dont.

Answer 14

i think you mean central angle

central angle = 360/n

where n = number of slices

Answer 15

the question asked for the interior angle, and i dont remember the formulas v.v

Answer 16

well if you have a regular polygon, then the interior angle is

180(n-2)/n

but this is a circle

Answer 17

i guess i would do that with however many slices for sides maybe....?

Answer 18

yeah i guess so, it seems like an odd choice of wording if you ask me

Answer 19

^agreed

Answer 20

thank you anyway you've been a huge help!

Answer 21

yw