Thus the area of shaded region is 301.5 cm^2.
What is circle?
"The collection of all points equidistant from a fixed point in a plane is called a circle".
For the given situation,
The radius of the inner circle be r = 8 cm and
the radius of the outer circle be R = 16 cm
The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]
Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]
⇒[tex]200.96[/tex]
≈[tex]201[/tex]
Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]
⇒[tex]803.84[/tex]
≈[tex]804[/tex]
The shaded region replicates the semicircle. So,
Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]
⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]
⇒[tex]402-100.5[/tex]
⇒[tex]301.5 cm^{2}[/tex]
Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]
Learn more about circles here
https://brainly.com/question/1297097
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