 Okay, so it's more geometry related. Yeah, yeah, sure. R is equal to the radius is equal to 50 and the distance between center points would be 30 So this This is so are they both the same size circle Gina keep asking questions if you need Same same size circles. Okay, that makes more sense. Okay, so same size circles So the radius is 50. So this is 50 and this is 50 50 and the distance between Between between center points is 30. I should have overlapped on more because the distance here Because it's that's 50. That's not close enough Let me erase it and draw it again So, oh, sorry, I touched the mic. So we got a circle Okay This is 50 right Now if the distance between the two circles is 30 so the other circle center will be here Okay, so I'm gonna erase this so the other circle center is here. I'm gonna try to make it around the same size So it's like this Is that crap crappy circles, by the way Just for theory the center both are in the middle. Yeah. Yeah That's not to scale not to scale. That's good. Okay, so this radius is 50 So we want to find the area here. Is that what we want to do? How do we find the area there let's think about this let's think about this So the area of circles both circles is gonna be the same so the area of the circles is Gonna be Pi r squared of each circle right, yeah, I want to Be able to calculate it. How do we calculate the area of this of the center? There's an easy way to do this. What's the trick of doing this? What's the trick of doing this? What's the trick of calculating the area? Here About this as your distance between the center points change the area will change. Yeah, I'm thinking about coming up Pythagorean theorem What I was thinking about doing is this So let's assume the two circles are on top of each other and you move one of the circles in this direction So what you're gonna start getting is? Circles slowly moving away right, and you're gonna stop it when it reaches 30 here so The best way of doing this. I hope it doesn't involve calculus tell you the truth, Pythagorean There's a line segment between the two intersection points that is critical There's a line segment between the two intersection points that is critical. You're talking about here join centers with Cross points are we talking about going like this? That would be a little wacko Because that's 50, right hmm I'm looking at the screen right now trying to visualize it. Yeah, that would be 50 So good question. Do you know? You can build a triangle that way for sure, but it's just gonna be an approximation, right? Like and if you can draw this right You got this thing going on you got your diamond you got a right angle triangles for Pythagorean theorem You have this thing but you could give point points names. So it's easier to communicate areas But this is gonna involve Will this involve calculus? Will this involve calculus? Is there a way to do it without calculus? I think it might have to Be an approximate it would have to be an approximation We can always look at it again next stream It's just something that's been mulling in my head. Yeah That's a good question. I mean it's relate to trigonometry that we want to do after this What are the possibilities? What are the possibilities? I mean the other possibility is finding out Eliminating this area, but how do you find the area there? You found the proof, but it's unclear. I think you Might have to let me take let me take a look at the proof gang Just to see if it's gonna make sense to me area of intersection between two circles Labor the center of the circle C and the center of the second circle C prime label one the points of intersection of the two circles a And B. Yeah. Yeah. Okay. Okay Okay, which is they're not doing this They're doing it taking it all the way to the edge Okay Area was shaded. Oh Interesting interesting huh and Then there's the integration version So for sure would be that calculus, but I don't like the integration because we're not gonna go there The area was shadow. Oh Snap crackle pop Okay, so we need to find the angle. Oh, very cool. Very cool. Very cool. Very cool. That's cool No, no, but wait a second. That's not a circle because the radius Would not beat that No, this is assuming that it's from the center of one circle to the center of the other No, this is not the special case special case. There's a proof for special case, but that's not it We would have to do this on another Another stream would have to I would have to look into this more Yeah, I'm clear to me. There's a specialist case There's one special case where he had it like Gina says the distance between the two centers is 30 Right, so here. Let me draw you what they had one of the one of the cases would be this Right check this up So if you had a circle And you had I should draw better. So centers here. Here's the other center And it goes like this Is that better oh god my circles suck The kicker with this is when you're doing geometry geometry problems like this It's really important to try to get a nice perspective on your drawings because that makes it easier for your brain To be able to figure things out, right? So take a look at this thing. Oh god. This is horrendous. This is worse than the last one Like seriously, do I have a big circle something here trying to draw too big Okay, let's just do it this way. Let's assume it's this and this so one version was this Got to run ground Go on without me awesome grab. Thank you for finding the link mark. Hello chichou funny enough Helping my niece with her mouth right on so take a look one version is this figure out the angle here right and You can figure out the area here Because if you can figure out that angle whatever that theta is right The full circle area of a full circle is pi r squared, right? That's the area of a full circle now if this is 50 Right, so this is the area of the full circle is going to be pi 50 squared right 50 squared Right, so five squared is 25 you had two more zeros you get that so that's the area of the full circle for this Now whatever this angle is right the area of a full circle area full circle full Circle is equal to two five zero zero pi That was over 360 degrees, right? That's your ratio conversion ratio So if you know this angle Whatever this angle might be you're going to go to 500 pi divided by 360 is going to be the area of the segment Area over the angle Okay, it's just proportionality right you can find the angle using trig as You have the triangle side length using the angles then use the angles to calculate the sector size Add the sectors and take out the triangles. Yeah, so you would figure that out, right? You would do the same here, right? Take a look You would do the same here because that's the other Thing So you would add them right and Then remove this because this was being double counted That's actually very cool. That's actually very cool right Good afternoon. Good afternoon electric shepherd, right? So The question is for us right now What is this angle If we know this angle right We can do this So our main problem is to find out what that angle is What is that angle? Let's check it out. If they're 30 meters apart 30 meters apart How do we find out that 30 meter? Oh, we can find that angle easy peasy. Nice. Let's do this Excellent excellent So check this out. Let me draw and do another drawing Watch this super cool question Gina super cool question and thank you everyone for directing us on sunny sunny Leo 98. Thank you and Did you get it? I'm gonna I'm gonna work it out, right? So close a over two is equal to 50 over This so basically we want this triangle, right? So if we take this part the two things here, let's let's do this draw it out here I'm just taking the top part of this, right? We know that this is 50 We know that this whole thing is 30 If we draw a straight line here, right then this distance here is 15 this part here Right, let me draw that so you can see it better So if the whole thing's 30 this part is 15, right? So we want to find this angle This is going to be theta over two because theta was the whole thing, right? But let's just call it X here. We'll just call it X Let's call it or let's call it beta Right, so trigonometry says this is going to be cosine, right? So close of beta is going to be 15 over 50, right? So we would have to punch that in so this is five goes into this three times five goes in the ten times So this is cos beta is equal to 0.3. So beta is equal to cos inverse of 0.3 Right, whatever that is. Let's punch it in I'm going to punch it in so we get a number Okay, so point three and we're going to take inverse cos So that gives us seventy two point approximately seventy two point five degrees So beta is equal to seventy two point five degrees You should actually use the exact number. Okay, so theta over here So this part this part is Two the angle is two cos inverse of 0.3 Which is going to be approximately two times seventy two point five What was that number? Five four two, so you should take it to pop up up Right, so multiply this by two you get times two We get hundred forty five point zero eight four. So we're just going to go to hundred forty five degrees Right, so theta here is 145 degrees Well, if we know that now we can plug that into here, right and find the area of This so if want to find the area of that is going to be This is a messy board. I should have drawn my circles here smaller and then work my way, but Over here. Let's bring this up here We're going to get two five zero zero pi over 360 is equal to the area Divided by 140 hundred forty five or hundred hundred forty five hundred forty five Right, so the area is going to be two five zero zero pi over 360 times a hundred forty five That's the area of one chunk the area of the other chunk, which is going to be this part is going to be That times two because that's going to be the same amount. So this is going to be Times two And then what do we need to do? We need to remove The diamond the area of the diamond What's the area of the diamond the era diamonds easy to calculate because all you need to do is calculate the area here and Multiply it by four. There's four of them. So you do Pythagorean theorem here Where we're gonna do this? So We can do Pythagorean theorem here. Let's do this here Okay, that one there Pythagorean theorem says 15 squared plus H squared is equal to 50 squared So 15 squared is 200. Actually, let's just do this as the squares So H if you move your numbers around is going to be the square root of 50 squared minus 15 squared. So H is going to be equal to let's punch that in I just laid down in bed To think about it and you came up with the same so awesome done it a hell the message Can you teach me the math? I What happened to the thing, okay, don't eat it or care, but thanks, I need to appreciate it. So this is going to be Troll yeah Perhaps the ballistic Okay, I'm gonna Hey, how do we ban the guy should we ban After you don't eat it up to you if you want to take care of it. I would say banned Hey, it's not loading for me my little thing really and my tolerance for messing around in math My tolerance for messing around in math Very limited, especially because I didn't get my 13 comics Especially maybe maybe Man, I'm banning. That's it. I didn't get my 13 comics today Why gross crop do so 50 squared minus 15 squared 50 squared minus 15 squared and then you take the square root 47 point 47.7. So the height is 47.7 47.7 So the area of the triangle Is one half base times height So it's gonna be let me race dance It's gonna be one half 47.7 times 15 Whatever that ends up being by the way, I forget who your name was that would End up nuking you Must crop to if you want to come back message me and we can talk about it. Okay at a future stream So it's 47 point seven times times 15 My pleasure Gina now curious divided by two So it's 357 point seven five and we're gonna multiply it by four times four 1000 So the total area of the pyramid is one four three one one four three one and This minus one four three one and that should give you the area of that guy It's going to be Two because you have two segments Yeah, we multiply it by two here So that segment times two minus the area of the diamond inside I Think that's I think I hope you did that right. I Hope you did that right looks chaos looks chaotic But yeah, Graham was on the right track same with gave us the hand found us the link to see it and Sunning sun in Leo 98 helped us out a lot right so Nice tag teaming this You could also use the angle to calculate the area of the triangles and end up with Caught point three at the end rather than rounding up or down earlier on yeah agreed Like I personally if I was doing this I wouldn't be punching in these numbers I would Be using Coast inverse of point three right you want the exact values for as far as you can go Right, you don't want to round during the process All right, I'm just doing that because I'm very limited and in general They might just want an approximate answer, right? I love it. We'll definitely review the VOD. Okay, awesome Gina I'm glad you brought up the question very cool and it's related to trigonometry So we jump jump into trick Let's jump into trick Let's do trick Hopefully I didn't make any brain fart mistakes here Sometimes I end up doing that right down the wrong number or whatnot, but the process is there now Cool question very cool question Right very cool question Yeah, very cool question. I like it. Okay, let's erase this. Let's go to trick