Question

Dion has a pizza with a diameter of 10 1/3 inch is the square box shown big enough to fit the pizza inside justify your answer

Answer 1

Given :

Diameter of pizza , $D=10\dfrac{1}{3}=\dfrac{31}{3}$ .

To Find :

Is square box of size equal to diameter big enough to fit pizza inside it .

Solution :

Area of pizza :

$A_p=\pi(\dfrac{D}{2})^2\\\\A_p=\pi\times (\dfrac{31}{3\times 2})^2\\\\A_p=83.86\ inch^2$

Area of square with side equal to diameter :

$A_s=D^2\\\\A_s=(\dfrac{31}{3})^2\\\\A_s=106.78\ inch^2$

Since , the area of square is more than area of pizza .

Therefore , pizza can easily be fitted .

Hence , this is the required solution .