00:01
Okay, let's find the area of this shaded part.
00:04
So it looks like we started out with a circle.
00:08
And then we cut out or we took away this hexagon in the middle.
00:16
So let's start with the area of the circle and then we'll discuss the pentagon or the hexagon in the middle, which is going to take some work.
00:26
So that is 16.
00:27
So they already give us the radius of the circle, which is 16, and i multiply it and then multiply it by pi get under and four.
00:50
I went out by the 10 ,000th, just because that's what they gave me.
00:56
Okay, now let's look at the hexagon here.
01:00
So if i were to make that a triangle, i know that this side is also 16.
01:08
I also know that this side is 16.
01:11
Okay, so we have an equilateral triangle.
01:16
I'm not going to write the base down to 16 because i need to find the height here, right, to find the area of that triangle.
01:26
Because guess what? once i find the area of that triangle, then i just cut it up into six of that.
01:34
Six equal triangles, that will give me the area of that hexagon that we need to subtract, right? because it's not shaded.
01:45
Okay, so since i cut in half, and we know that this full length is 16, this is going to be 8.
01:51
So i have a right triangle.
01:53
I have two sides, but i don't have this third side, which is the height.
01:57
What can i use? the bathroom.
02:00
Theorem.
02:01
So one side plus second side equals the hypotenuse...