The area of the shaded region is 75.5cm^2.
The radius of the inner circle=10cm
The radius of the outer circle=14cm
angle made by sector is 90 degrees.
What is the formula for the area of the sector making an angle theta?
[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]
For an outer sector
[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]
area of the sector=154cm^2
Now we have to find the area of the sector for the inner circle.
[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]
Area of sector=78.5cm^2
Area of the shaded region =area outer sector - area of inner sector
Area of the shaded region=154-78.5.
Area of the shaded region75.5cm^2.
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