Pizza Pizza! Help, I have most of them but just wanna make sure I'm right.?

Question

For a 12in and 16in pizza

I need to find the Circumference of the pizza – in inches
Area of the pizza – in square inches
Measure of each central angle – in degrees
Arc length for each slice – in inches
Area of each slice (sector) of the pizza

pizzas are cut into 8 slices

Answer 1

Circumference is 2pi*r.
Area is pi*r^2
central angle is easy 360/8
arc length = angle * r (angle in radians)
are of slice = angle/2 r^2 (angle in radians)

so, for 12 in, r=6; for 16 in r=8

C=12pi and 16pi or 37.6991 and 50.2655
A=36pi and 64pi or 113.097 and 201.062
central angle is 45 degrees for both
for Arc, convert 45 degrees into radians = pi/4
Arc=3pi/2 and 2pi or 4.71239 and 6.28319
Area=9pi/2 and 8pi or 14.1372 and 25.1327

Incidentally since the pizzas are cut evenly into 8 pieces each, you can figure arc length and area of slices by simply dividing the total circumferences and areas by 8! (I used this to check my answers)

Answer 2

Well, the diameter of the pizzas are 12 and 16 inches, so the radii are 6 and 8 inches.

Circumference = 2pi*r
Circumference = 2pi*6 and 2pi*8 = 37.7 and 50.3 inches

Area = pi*r^2
Area = pi*(6)^2 and pi*(8)^2 = 113.1 and 201.1 inches squared

There are 8 slices of two 360 degree pieces. Therefore, each central angle is 360/8 or 45 degrees.

The arc lengths can be found by dividing the circumferences by 8, since there are 8 slices. The arc lengths of the smaller pizza are 37.7 inches / 8 or 4.7 inches.

The arc lengths of the larger pizza are 50.3 inches / 8 or 6.3 inches.

The area of each slice is the area of the entire pizza divided by 8. The area of the smaller pizza slice is 113.1/8 or 14.1 inches squared.

The area of the larger pizza slice is 201.1/8 or 25.1 inches squared.

Answer 3

Circumference
12 -- 37.7"
16 -- 50.3"
Area
12 -- 113in^2
16 -- 201in^2

12" pizzas usually have 6 slices, giving a central angle of 60°, an arc length of 6.28", and a slice area of 18.85 in^2
16" pizzas usually have 12 slices, giving a central angle of 30°, an arc length of 4.19", and a slice area of 16.76 in^2

Answer 4

hmmm...

circumference for 12 inches = 12(pi) = 37.68 inches
circumference for 16 inches = 16(pi) = 50.24 in
area for 12 in = 36(pi) = 113.04 in^2
area for 16 in = 64(pi) = 200.96 in^2

if the pizza cut in 8 pieces...

measue of the central angle, for everything (12 and 16 in pizza) = 360 deg

measue of the central angle of each piece for 12 in = 45 deg = pi/4
measue of the central angle of each piece for 16 in = 22.5 deg = pi/8

arc length for 12 in = 6(pi/4) = 3/2(pi) = 4.17 in
arc length for 16 in = 8(pi/8) = (pi) = 3.14 in

area of each slice for 12 inches = (1/2)(36)(pi/4) = 9pi/2 = 14.3 in^2
area of each slice for 16 inches = (1/2)(64)(pi/8) = 4pi = 12.56 in^2...

in general for a 2r inches divided into n pieces...

circumference = 2r(pi)

area = r^2(pi)

measure of the central angle or the whole pizza = 360 deg...

measure of the angle or each piece = 360/n

arc length of each piece = circumference/n = r(angle measure of each piece)

area of sector = area of pizza / n = 1/2(r^2)(angle measure of each piece)

Answer 5

I actual have extra for pizza hut and papa john's. i did not would desire to envision the cardboard at the two place. i might have not any way of understanding who's card you used. you may desire to reserve and pay on line. we don't even make human beings sign for on line orders.

Answer 6

good luck, i hate math!