Answer:
Area of shaded part = 22 square cm.
Step-by-step explanation:
The area of the shaded region can be calculated by subtracting the area of the triangle by the area of the sector.
Measure of central angle is equal to the measure of arc intercepted.
Area of sector =[tex]\frac{\pi r^{2} \alpha }{360}[/tex]
Where α denotes the central angle and r denotes the radius of the circle .
Substituting the given values
Area of the sector =
[tex]\frac{\pi 6^{2}.120 }{360}[/tex] =37.7 square cm.
Area of the triangle =[tex]\frac{1}{2} a.b.sin\alpha[/tex]
Where a and b are the sides of the triangle.
Substituting the values we have :
Area of the triangle =
[tex]\frac{1}{2} 6.6.sin120[/tex] = 15.6 square cm.
Area of shaded part = 37.7-15.6= 22.1 = 22 square cm rounded to nearest square cm.
