If you are offered one slice from a round pizza and the slice must have a perimeter of 36 inches, what diameter pizza will reward you with the largest slice

A diameter of 16 inches will give the largest slice

Step-by-step explanation:

Step 1: Statement of optimization

largest slice of pizza = maximum area of the sector

Step 2: Formula for area and perimeter of sector:

Area of sector, A = 1/2r²θ

Perimeter of sector, P = 2r + rθ

Step 3: Determining the constraint

The perimeter, P, must be equal to 36 inches ie. 2r + rθ = 32

Therefore, θ = 32 -2r/r

Substituting θ in the formula for area;

A = 1/2r²(32 -2r/r)

A = -2r² + 16r

The domain of A(r)  = 0 < r < 16

Step 4: Determine the maximum of object function

Critical point of A(r) , A'(r) = - 2r + 16

when A' = 0

r = -16/-2

r = 8

since, diameter, d = 2r,

Therefore, a diameter of 16 inches will give the largest slice

answer: answer is c!

ok i got to organize the

3/15 and 12/55

3*

aha

3*4 equals 12 but not

a: no

b:

8/24 12/35

no

gautie

it's c

5/18 = 25/90

5*5=25

18*5 = 90

hope that you!

one more happy customer!

< 3

step-by-step explanation:

21

jk it's 20

step-by-step explanation: