A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 96 m long and 64 m wide. Find the area of the training field. Use the value 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.

A training field is formed by joining a rectangle and two semicircles as shown below The rectangle is 96 m long and 64 m wide Find the area of the training fiel class=

Respuesta :

To find:

The area of the training field.

Solution:

The training field is made of two semicircles and a rectangle.

The length and width of the rectangle is 96 m and 64 m. So, the area of the rectangle is:

[tex]\begin{gathered} A=l\times w \\ =96\times64 \\ =6144\text{ m}^2 \end{gathered}[/tex]

The diameter of the semicircle is 64 m. SO, the radius of the semicircle is 32 m.

The area of two semicircles is:

[tex]\begin{gathered} A=2\times\frac{1}{2}\pi r^2 \\ =3.14\times(32)^2 \\ =3.14\times1024 \\ =3215.36 \end{gathered}[/tex]

So, the area of the training field is:

[tex]\begin{gathered} A=6144+3215.36 \\ =9359.36 \end{gathered}[/tex]

Thus, the area of the training field is 9359.36 m^2.