Answer:
113.04 [tex]cm^2[/tex]
Step-by-step explanation:
We start by noticing that the image is drawn with a circle within a circle.
We use this equation (area of larger circle) - (area of smaller circle) = area of the shaded region.
Note the formula to find the area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.
1. To find the area of the large circle:
- Plug in 10 for the radius: [tex]\pi 10^{2}[/tex]
- Replace [tex]\pi[/tex] as 3.14 [tex](3.14)(10^{2})[/tex]
- Compute: 314 [tex]cm ^{2}[/tex]
2. To find the area of the small circle:
- Plug 8 for the radius: [tex]\pi 8^{2}[/tex]
- Replace [tex]\pi[/tex] as 3.14 [tex](3.14)(8^{2})[/tex]
- Compute: 200.96 [tex]cm^2[/tex]
3. Subtract smaller area from larger area:
- [tex]314 - 200.96[/tex]
- In the end, we get 113.04 [tex]cm^2[/tex]
