The area of the shaded region will be 3521.14 cm². It is obtained by subtracting total area from unshaded region.
How to find area of the shaded region?
The difference between the area of the complete polygon and the area of the unshaded section inside the polygon is the shaded region's area is the area of the shaded region.
The total area of the region is;
A=πr²
A=3.14×7²
A=153.86 cm²
The area of unshaded section;
A₂=r²(α/2)
A₂=7²(150/2)
A₂=3675
The area of the shaded region is;
Area of shaded region=Total area - area of unshaded region
Area of shaded region=3675 -153.86
Area of shaded region=3521.14 cm²
Hence, the area of the shaded region will be 3521.14 cm².
To learn more about the area of the shaded region, refer;
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