miracletwi123 miracletwi123
  • 24-01-2022
  • Mathematics
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Calculate the area of the shaded region

Calculate the area of the shaded region class=

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semsee45
semsee45 semsee45
  • 24-01-2022

Answer:

48.0 cm² (3 sf)

Step-by-step explanation:

Shaded triangle:

Area of triangle - area of circle = [tex](\frac{1}{2} \times 11 \times 11)-(\pi 3.5^2)=60.5-12.25\pi [/tex]  

Shaded rectangle:

Area of rectangle - area of semicircle = [tex](\frac{11}{2} \times11)-\frac{1}{2} \pi 5.5^2=60.5-15.125\pi [/tex]

So total shaded region:

[tex](60.5-12.25\pi)+2(60.5-15.125\pi )=47.98231222...[/tex]

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