The area of the shaded region is 50.24 square centimeter
The given parameters are:
[tex]\mathbf{D = 10cm}[/tex] -- the diameter of the big circle
[tex]\mathbf{d = 6cm}[/tex] -- the diameter of the small circle
Start by calculating the area of the big circle, using:
[tex]\mathbf{A_1 =\pi(\frac{D}{2})^2}[/tex]
So, we have:
[tex]\mathbf{A_1 =3.14 \times (\frac{10}{2})^2}[/tex]
[tex]\mathbf{A_1 =78.5}[/tex]
Next, calculate the area of the small circle, using:
[tex]\mathbf{A_2 =\pi(\frac{d}{2})^2}[/tex]
So, we have:
[tex]\mathbf{A_2 =3.14 \times (\frac{6}{2})^2}[/tex]
[tex]\mathbf{A_2 =28.26}[/tex]
The difference between the areas is the area of the shaded region.
So, we have:
[tex]\mathbf{A =A_1 - A_2}[/tex]
Substitute known values
[tex]\mathbf{A =78.5 - 28.26}[/tex]
[tex]\mathbf{A =50.24}[/tex]
Hence, the area of the shaded region is 50.24 square centimeter
Read more about areas at:
https://brainly.com/question/23934358
