Respuesta :

Answer:

The Area of shaded region is  37.68 ft²    

Step-by-step explanation:

Given figure is the circle with sector subtending angle

The angle subtending by sector = 120°

And the radius of circle is 6 ft

Now, The area of circle subtending angle at the centre of circle = [tex]\frac{\Phi \times r^{2}\times \theta }{360°}[/tex]

Where r is the radius of circle

or, =  [tex]\frac{\Phi \times 6^{2}\times \120° }{360°}[/tex]

Or , = [tex]\frac{3.14 \times 36 \times 120}{360}[/tex]

∴  Area = 37.68  ft²

Hence The Area of shaded region is  37.68 ft²      Answer

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