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.
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
#SPJ2