Respuesta :

eleanordewfall

Answer:

3.9 inches

Step-by-step explanation:

area of a circle = πr²

= π 3²

= 9 π

9π = 28.3 (rounded).

area of a square = length x width

= 6 x 6

= 36 inches

36 - 28.3

= 7.7

÷2 to get the individual value

= 3.9 inches rounded

The area of the yellow region will be  [tex]3.86[/tex] squared inches.

What is area ?

Area is the space occupied by any shape.

Area of the square [tex]=side*side[/tex]

We have,

A square of [tex]6[/tex] inch in side, divided in two semi-circles.

Radius of semi-circle[tex]=3[/tex] inch

Now,

Area of the square [tex]=side*side=6*6=36[/tex] squared inches

Now,

Area of a semi-circle[tex]= \frac{\pi }{2}r^{2}=\frac{22 }{2*7} (3)^2=14.14[/tex] squared inches

So,

Area of two semi-circles[tex]=28.28[/tex] squared inches

Now,

Area of yellow part [tex]= \frac{36-28.28}{2}=3.86[/tex] squared inches

So, Area of yellow part is [tex]3.86[/tex] squared inches find out by dividing by two because other part is equals to yellow part.

Hence, we can say that the area of the yellow region will be  [tex]3.86[/tex] squared inches.

To know more about Area click here

https://brainly.com/question/27683633

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