00:01
All right, to kind of set this up, what i've done is created some formulas to kind of look at through things.
00:08
So first things first, we have a quarter circle up here in the upper left hand corner.
00:13
We're going to use that to find the lens shape or those overlapping semi -circles.
00:19
So i need to subtract the triangle in red from the semicircle.
00:25
And that's going to leave me the top half of that lens shape.
00:28
I can double it because those pieces are symmetrical to get the actual area of that space occupied by those two semicircles.
00:38
So what i do is i obviously plug in my values.
00:42
I have one quarter times pi times r.
00:51
Keep in mind if the square has a side length of 10, the radius of that circle is 5.
00:59
We find out that a quarter circle or the area occupied by a quarter circle is about 19 .6.
01:07
I'm going to use that stored value in my calculator to get a more exact answer in the end.
01:14
When looking at the triangle, we know the base and the height of the triangle are both five.
01:20
Half of 25 is 12 .5.
01:25
So what i can do again is subtract the two or find the difference of the two...