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(1)/(3)=(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((D)/(2))^2\\\\A_p=\pi* ((31)/(3* 2))^2\\\\A_p=83.86\ inch^2`

Area of square with side equal to diameter :

`A_s=D^2\\\\A_s=((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 .