From the given figure,
The area of the shaded region = area of bigger circle - area of the smaller circle.
Now,
R = radius of the bigger circle = OT = 16.7
r = radius of the smaller circle =OH = 12.3
We Know That,
Area of a circle = π*(r^2)
Hence,
Area of the bigger circle = π*(R^2)
= 3.14*(16.7^2)
= 875.71
Area of the smaller circle = π*(r^2)
= 3.14*(12.3^2)
= 475.05
Therefore,
Area of the shaded region = 875.71 - 475.05
= 400.66
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