Bed sand volume

The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand.

Final Answer:

S =  12.4336 m²

Step-by-step explanation:

$$\begin{gathered} r=2\text{m} \\ a=5\text{m} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 2^2\doteq 12.5664{\text{m}}^2 \\ {S}_2=a^2=5^2=25{\text{m}}^2 \\ S=S_2-S_1=25-12.5664=12.4336{\text{m}}^2 \end{gathered}$$

Try another example