+0  
 
0
69
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Find the area of the shaded region.

 

 Aug 6, 2020
 #1
avatar+1130 
+3

The circle has area 64pi and that means angle AOB is 60 degrees since it's equalateral so we have 32pi/3 for the sector and for the triangle is 8*4sqrt3=32sqrt3 we then divide by 2 to get 16sqrt3 we subtract to get 32pi/3-16sqrt3 so we have \(\boxed{(B)\dfrac{32\pi}3-16\sqrt3}\)

 Aug 6, 2020
 #2
avatar+26735 
+1

Angle o is 60 degrees (equilateral triangle)

 

60 / 360    x    pi  x 8^2 -   8^2 sqrt3/4                 red is area of equilateral triangle  

 Aug 6, 2020
 #4
avatar+169 
0

But isn't it asking for the shaded?

Inspirational  Aug 6, 2020
 #3
avatar+1326 
+2

AO = OB = AB =>  a

 

Area = 1/6 [ api - a2 (3√3) / 2] 

 Aug 6, 2020

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