Answer:
Area of Sector = 104.76 inche²
Step-by-step explanation:
Given: Angle of Sector m∠A = [tex]\frac{\pi}{6}[/tex]
radius of circle, r = 20 inches
To find: Area of Sector
Angle of Sector [tex]\,\theta=m\angle A,=\frac{\pi}{6}=\frac{180}{6}=30^{\circ}[/tex]
Formula to find Area of Sector = [tex]\frac{\theta}{360^{\circ}}\times\pi r^2[/tex]
Area of Sector = [tex]\frac{30}{360}\times\frac{22}{7}\times(20)^2[/tex]
= [tex]\frac{1}{12}\times\frac{22}{7}\times(20)^2[/tex]
= [tex]\frac{1}{12}\times\frac{22}{7}\times400[/tex]
= 104.76 inche²
Therefore, Area of Sector = 104.76 inche²
