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aleksandr82 [10.1K]
3 years ago
7

The world’s largest round pizza was set in December 2012 by five Italian chefs. The diameter of this pizza was 131 feet. If this

pizza was cut into 50 slices, what would be the area of each slice and the length of the crust for this slice?
Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

First find the area of the whole pizza.

The formula for area of a circle is Area = PI x r^2

The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.

I will use 3.14 for PI since the problem doesn't say what value to use.


Area = PI x 65.5^2

Area = 3.14 x 4290.25

Area = 13,471.39 square feet


Divide the total area by the number of pieces:

13,471.39 / 50 = 269.43 square feet


To find the length of the crust first find the circumference of the whole pizza:

Circumference = PI x diameter

Circumference = 3.14 x 131 = 411.34 feet

Now divide the total by the number of pieces:

411.34 / 50 = 8.23 feet


Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.


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3 years ago
Question 2
prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0
3 years ago
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