Find the area of the shaded region below to the nearest tenth. 6ft 120 degrees
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