+0

0
69
4

Find the area of the shaded region.

Aug 6, 2020

#1
+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
+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
+169
0

Inspirational  Aug 6, 2020
#3
+1326
+2

AO = OB = AB =>  a

Area = 1/6 [ api - a2 (3√3) / 2]

Aug 6, 2020