# How to find area of a circle inside a square with side 4?

Aug 1, 2015

=color(blue)(12.56cm^2

#### Explanation:

When a circle is completely inscribed within a circle, the radius of that particular circle is half the side of the square.

So in this case:
The radius: $r = \frac{4}{2} = 2 c m$ (assuming the unit to be in cm)

Area of a circle is given by formula:
color(blue)(pir^2
Where $\pi$ is of constant value $3.14$

So, area $\textcolor{b l u e}{\pi {r}^{2}} = 3.14 \cdot {\left(2\right)}^{2}$
=color(blue)(12.56cm^2