top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

Will square pizza cover more percentage of area in box with circular base than circular pizza in box with square base?

0 votes

Usually, pizzas are circular and they come in boxes with a square base. The circular pizza covers some percentage of area of the square base of the box. Let's say someone makes a square pizza and puts it in a box with a circular base. Will the square pizza cover more percentage of area in the box with circular base than the circular pizza in the box with square base ?

Assume that both the pizzas fit perfectly inside their respective boxes.

posted May 31, 2016 by Rajni

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

+1 vote

A circle in a square consumes more percentage of the area of the square ie., only 21.46% of the area is wasted.
On the other hand Square in circle wastes more area ie., 36.33%

enter image description here
For the circle in the square case to find the area that is wasted by the circle in the square in percentage we can use the following method

=(1 - (πr^2/s^2)) *100 ------ 1
but here

so 1 becomes


Similarly in the case of the square inside the circle we end up with the equation

(1 - (s^2/πr^2))*100 ------ 2
but here
so 2 becomes

(1 - (2/π))*100

So we can conclude that the circular pizza consumes more percentage area of the square box it is in than the vice versa case.

answer Jun 4, 2016 by Tejas Naik

Similar Puzzles
0 votes

The altitude of a circular cylinder is increased 12 times and the base area is decreased to one ninth of its value.
How much would be the change in surface area of new cylinder?

0 votes

A certain right pyramid with a square base has the same numerical surface area as its volume. If it is also the only right pyramid with a square base to have that certain surface area and volume, what is its height?

0 votes

A square lawn with side 100 m long has a circular flower bed in the centre. If the area of the lawn, excluding the flower bed is 8614 m^2, the radius of the circular flower bed is

Contact Us
+91 9880187415
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Karnataka INDIA.