Respuesta :

Answer:

The area of the element is approximately 19314.164 square milimeters.

Step-by-step explanation:

We proceed to calculate the area highlighted on image:

1) Calculate the area of the square:

[tex]A_{\square} = (300\,mm)^{2}[/tex]

[tex]A_{\square} = 90000\,mm^{2}[/tex]

2) Calculate the area of each circle section:

[tex]A_{sc} = \frac{\pi}{4}\cdot (150\,mm)^{2}[/tex]

[tex]A_{sc} = 17671.459\,mm^{2}[/tex]

3) Subtract the areas found in 2) from the area found in 1):

[tex]A = A_{\square}-4\cdot A_{sc}[/tex]

[tex]A = 19314.164\,mm^{2}[/tex]