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Chapter 11 Test Review #11-19

Added Apr 19, 2018 •

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number 11 so these next three problems are the problems I think you guys hate the most the number 11 is thing you want us to find the degrees using the Mike formula so my arc length formula think I should all have this on your formula sheet is angle over 360 times 2 pi R Us number on the outside this is are going this right here is your radius and we don't know what the angle measure is so I'm going to plug it in 23.88 equals x over 360 X 2 pi and then 12 and then I just like really don't like how 360 is on the denominator so I multiply 360 to both sides until then I would get he 596 point and I'm going to multiply these to the other summons do * 2 * pi * 12 + 1 * 2 * pi * 12 is 75.4 divided by 75.4 divided by 75.4 and x equals 100 10 + 114 degree because that's what I'm trying to find all right up next number 12 still using Arc Length formula and they want us to find circumference so are arguing formula is Arc Length equal angle over 360 times 2 pi r full C equals 2 pi r or circumference equals two Pi are so I'm going to take things and plug it in and Simon have an angle over 360 x c equals are forensic and so I look here and this is my degrees are my angle measure and this over here is my arc length and so I'm sure the planet this is 46 .75 equal to 90 / 360 * my circumference again I don't like the 360 on the denominators coming to * 360 X 360 and when I do that I get 16 830 equals to 90 divided by 290 divided by 290 and circumference equals 58 and then that's it so if you guys can remember the trick of turning into circumference in USA something extra number 13 number 13 they want you to find the radius so arc length is equal to angle over 360 x Pinkie Pie are so here this is our Klang is your angle measure and we don't know what artist cuz it's so 19.71 equals angle 55 / 360 * 2 paillard so glad I'm going to multiply 360 out of the denominator so I just cancelled out and I think I remember that that cancels out cuz I feel like a lot of times you're like what really yeah that's why we're doing it cuz it cancels out so cancelled out and then when you multiply 360 to both sides I have to do that real quick so when you multiply 19.71 * 360 forget about 7,000 95.6 equals and I'm going to go ahead and multiply 5055 x 2 x 3.14 and you get 345 .4 + are still chilling there so I 55 x 2 x 3.14 and now I'm going to take that and divide it 345.4 the 7095 2.6 divided by 345.4 and I get about 20.5 and that is and then you're done so the next one now we're talkin about area and on your test at life Best Buy in the area so you guys will be fine find the area of the Shaded sector cell area of a sector is angle over 360 times pi r squared because now we're talkin about area somebody's area formula I'm so this is my angle measure and this my radius and that's all I need some if I get in so it's 80 / 360 * pi 3.5 I know I just got to look at all the time I calculator and you should get approximately 8.5 beaches in the area of inches squared all right and the number 15 last time for this video area of a octagon it's an octagon so I'm going to have to use area equal little a x and x as Hayes apothem and any number of sides Annex is sideline and maybe I'll stop so divided by 2 I'm so I'm going to go ahead and drama Triangle theater and it's ones annoying one cuz they gave you the radius which is the only thing you really don't need in this triangle so instead we need that bottom and we need little a so my first step is Emoji with 360 / 8 which is 45 and then Second Step I'm going to take 45 and divided by 2 which is 22.5 and so that goes right here in this angle explain 2.5 sorry Enzo from 22.5 this is officer 14 ft hypotenuse cuz it's across from 14 and then Azle a so I'm first going to find something to do fine cuz opposite over adjacent lots of talk to you guys too so it's fine 22.5 equals an officer asks over hypotenuse 14 x 14 * 14 + x equal about 5.4 I'm going to double check. Org hipmunk 524 so then I'm going to find your apothem and so this one's going to be cosine cuz it's A&H of cosine 22.5 equals adjacent a over hypotenuse multiply 14 / and a equals 12th Planet I'm so actually I hear this is only half of it and so I want to know what the whole thing is going to be so the whole Sidelines is 5.4 * 2 which is 10 point hitch until now final step is area equals are my possum 12.9 X my style number size which is 8 times my sideline which is 10.8 all divided by 2 which is 557 wait to eat and then that is units so this one's the worst of these problems because they gave you the radiance anytime they give you the radius that means that you don't have to use mine and cosine to find the side length and 2/5 but all the rest of them should be nice and don't know what ends up on your test I'm sorry should be popping the more hopefully all is going to be back all right number 16 60 is another one 6 X 7 he is 9 10 11 list all sides I just wanted to make sure I was going to know up here at the top. N equals 12 that's equals 10 so I got to find his little a the first step 360 / 12 equals 30 I believe and then 30 / 2 is triangle and that's 15 degrees and the whole things tend to this piece right here is just by and we need to find little a I'm so this is opposite and little as a Jason so we're going to use tan 15 equals opposite 5 over adjacent little a x 8 outside so it's a Time 1015 equals 5 / 2 + 15 and a equals 18.7 and now we have an S and A what's the NSA the whole area equals 12 * 10 * 18.7 divided by 2 and you should get about 11:20 and that is unit all right next ones number 17 this is a kite an area of a kite is G one time do to you divided by 2 I'm so here you go to add it up so G1 is 2 + 16 which is 18 and it decides 7 and the side 7 so do you want 18 G2 14 + 7 is 14 plug it in 18 * 14 / 218 * 14 / 2 + 126 where to start my area okay next one number 18 is a rhombus and some of the top part 6 bottom part 6 and if the sides 10 in the other sides 10 it's the same area formula 1 is 20 and the 2 is 12 area equals 20 times 12 / 2 which is 100 120 units all right at next number 19 so this is a trapezoid I'm an area is B1 + B2 * the high / 2 Sobe 1 + B2 / 2 * pi is 4 call this be one call this one be two and seven is the height so4 + 10 + you could switch be wanted me to get the same answer it just can't switch the height times 7 divided by 49 29 feet squared and then I'm actually going to do 20 through the next one someone's darkest 21 minutes videos

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Chapter 11 Test Review #11-19

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