Question

Which of the following collection of round
pizzas will have the largest area?
a. Three 12 inch pizzas
b. One giant 21 inch pizza
C. Two 15 inch pizzas
d. Five 9 inch pizzas​

Answer 1

Answer:

D

Step-by-step explanation:

five 9 inch pizzas will jave the largest area

Answer 2

Given:

Which of the following collection of round  pizzas will have the largest area?

Solution:

Know that the area of the circular pizza $\[ = \pi {r^2}\]$

Take option (a) and Calculate the area of three 12 inches pizzas,

$\[ = 3 \times \frac{{22}}{7} \times {\left( {\frac{{12}}{2}} \right)^2}\]$

$\[ = 3 \times \frac{{22 \times 36}}{7}\]$

$\[ = \frac{{2376}}{7}\]$

$\[ = 339.42\,{\rm{c}}{{\rm{m}}^2}\]$

Take option (b) and Calculate the area of One giant 21 inches pizzas,

$\[ = 1 \times \frac{{22}}{7} \times {\left( {\frac{{21}}{2}} \right)^2}\]$

$\[ = 1 \times \frac{{22 \times 3 \times 21}}{4}\]$

$\[ = \frac{{1386}}{4}\]$

$\[ = 346.5\,{\rm{c}}{{\rm{m}}^2}\]$

Take option (c) and Calculate the area of two 15 inches pizzas,

$\[ = 2 \times \frac{{22}}{7} \times {\left( {\frac{{15}}{2}} \right)^2}\]$

$\[ = 2 \times \frac{{22 \times 225}}{{7 \times 4}}\]$

$\[ = \frac{{2475}}{7}\]$

$\[ = 353.57\,{\rm{c}}{{\rm{m}}^2}\]$

Take option (d) and Calculate the area of five 9 inches pizzas,

$\[ = 5 \times \frac{{22}}{7} \times {\left( {\frac{9}{2}} \right)^2}\]$

$\[ = 5 \times \frac{{22 \times 81}}{{7 \times 4}}\]$

$\[ = \frac{{4455}}{{14}}\]$

$\[ = 318.21\,{\rm{c}}{{\rm{m}}^2}\]$

Hence, the correct answer is option (c) i.e. Two 15 inch pizzas will have the largest area.