00:01
Okay, so i see that you need help with this problem and it says, what is the area of the shaded region given? so we have a is 120π plus 6 times the square root of 3.
00:14
B, which is 96π plus 36, the square root of 3.
00:22
Then we have c, 90, oops, c is 120π plus 36, the square root of 3.
00:38
Then d is 96π plus 6 times the square root of 3.
00:47
And to get to this area, you are going to do area equals π times the radius squared, okay? first, so that is going to be 12 squared, which is 144π.
01:05
However, it's only 60 degrees of the, it's only 60 degrees of a 360 degree circle.
01:18
So out of 144, so that would be 60, oops, 60, 60 times 144 divided by 360, that's 24.
01:37
And that's 24π, okay? so that would be 24π.
01:47
And then if this is a 12, so here's my circle.
01:53
And if this is a, my triangle here, if this is 12, and then this is 12.
02:04
And so if this is a 6, so then 6 squared plus x squared equals 12 squared.
02:17
So then i have 36 plus x squared equals 144.
02:26
And so 144 minus 36 is 108...