Question

A chef needs to pack a circular pizza in a square-shaped box having side 6 cm. What should be the area of the pizza?​

Answer 1

The pizza is circular in shape and is completely fitted inside this square-shaped box.
Hence, the diameter of the circle is equal to the side of the pizza box.
Step 1: Find the radius of the circle
We know that the diameter of a circle inscribed in a circle = one side of the square.
ie; diameter, d = 6 cm
Hence radius , r = d/2 = 3cm

Step 2: Find the area of the circle
$\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{circle}={\mathrm{\pi r}}^2=\pi \times 3^2=9\pi {\mathrm{cm}}^2=9\times 3.{14}^2=28.26{\mathrm{cm}}^2$
$Hence,areaofthepizza=9\pi {\mathrm{cm}}^2\mathrm{or}28.26{\mathrm{cm}}^2$