Answer:
Diagram was not given.
Still I had drawn it, hope may it will helpful to you. So as per my diagram I had solved the sum.
The area of the shaded region is 176.96 ≈ 178 cm²
Step-by-step explanation:
Given:
radius of the circle = r = 8 cm
length of the rectangle = L = 12 cm
breadth of the rectangle = B = 2 cm
To Find:
Area of shaded region = ?
Solution:
[tex]\textrm{Area of rectangle} = Length\times Breadth\\= L\times B\\= 12\times 2\\= 24\ cm^{2}[/tex]
[tex]\textrm{Area of Circle} = \pi \times (radius)^{2} \\=\pi \times r^{2}\\=3.14\times 8^{2}\\=200.96\ cm^{2}[/tex]
Now, The Area of Shaded region will be
[tex]\textrm{Area of Shaded region}=\textrm{Area of Circle}-\textrm{Area of Rectangle}\\=200.96 - 24\\=176.96\ cm^{2} \\=178\ cm^{2}\........... \textrm{Rounded to tenth}[/tex]
The area of the shaded region is 176.96 ≈ 178 cm²
