Question

Assume that the number of pepperoni pieces placed on the pizza is proportional to the square of radius of the pizza. What will be the approximate number of pepperoni pieces on an extra-large pizza with diameter 54 cm?
a) 27
b) 40
c) 54
d) Cannot be calculated​

Answer 1

Step-by-step explanation:

This problem arose in a different context at work, but I have translated it to pizza. Suppose you have a circular pizza of radius R. Upon this ...

Updated: see below (Update 3) Here's another approximation. Consider the center of the ... More

Answer 2

Concept

Ratios are commonly referred to as parts, parts, or numbers that are considered relative to the whole. The definition of ratio indicates that if two ratios are equal, they are proportional. This is an equation or statement used to indicate that two ratios or fractions are equal.

Given

We have given the diameter of the pizza which is 54cm.

Find

We are asked to determine the number of  pepperoni pieces of the pizza of the given diameter.

Solution

Let the number of  pepperoni pieces of the pizza be 'n' .

Let the radius of the pizza be 'r'.

We have given diameter=54cm then, radius will be

$r=\frac{d}{2} \\\\=\frac{54}{2} \\\\=27$cm

It is given that number of pepperoni pieces ∝ to the square of the radius of the pizza.

$n\propto r^{2}$   ..... (1)

Putting the value of 'r' in equation (1) , we get

$n\propto 27^{2}$

Hence, the number of pepperoni pieces with the given diameter is 27.

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