Question

i need help please . i have to find the interior and the arc length of a pizza . which had a diameter of 16 and is able to be divided into 10 and 8 slices . please help

Answer 1

@Cemantha Kindly elaborate. Do you want the arc length and centre angle of one slice of pizza for both cases?
Case 1: when the pizza is divided into 10 slices.
Case 2: when the pizza is divided into 8 slices

Answer 2

yes please.

Answer 3

I'll do the first case, then you should be able to do the second.
Case 1: Diameter 16, divided into 10 slices. Find arc length and centre angle.
Let's start with the centre angle. Keep in mind that the total angle at the centre is 360.
Since the pizza is divided into equal slices, these 360 degrees are also divided equally, thus the centre angle = 360/10 = 36 degrees.
Let's continue to the arc length. This can be directly related to the centre angle, in that, the length of the arc = (centre angle/360)*circumference
Length of arc = (36/360)*22/7*16 = 5.0286
I hope that is clear enough and that you can do the second. :)

Answer 4

oh ive done case 2 . can you tell me if its correct?
Case 2: Diameter 16, divided into 8 slices. Find arc and centre angle.
Lets start with the centre angle. Keep in mind that the totak angle at the centre is 360.
Since the pizza is divide into equal slices, these 360 degrees are also divided equally, thus the centre andgle = 360/8 = 45 degrees.
Lets continue to the arc length. This can be directly related to the centre angle, in that, the length of the arc = (centre angle/360)*circumference
Length of arc = (45/360)*22/7*16 = 6.2857

Answer 5

Wonderful. Very correct :)

Answer 6

thank you. can yu help me find the area of each slice?

Answer 7

You're welcome. Lemme give you a hint:
area of slice = (centre angle/360)*area of whole pizza

Answer 8

Area of slice = (36/360)*16 = 1.6

Answer 9

for case 1 ^^^

Answer 10

Area of slice = (45/360)*16 = 2
for case 2 ^^^

Answer 11

remember that area of a pizza (circle) = pi*r^2

Answer 12

Care to try again? you have the idea :)

Answer 13

ok

Answer 14

3.14*8^2 ->3.14*64 -> 200.96
is this correct?

Answer 15

True. So that gives you the area of the pizza. continue...

Answer 16

so it wud b (36/360)*200.96 = 20.096
and (45/360)*200.96 = 25.12

Answer 17

Exactly =)

Answer 18

thank you . soo much

Answer 19

You're welcome.