https://padlet.com/jmacdonald40/6pteeilr6z409b1m Which route is shorter? en-us 2020-09-14 18:14:11 UTC 2023-02-17 14:22:25 UTC hello@padlet.com https://padlet.net/icons/png/1f697.png jmacdonald40 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/745293309 2020-09-14 18:16:04 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/745293309 jdyer43 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/759593690 I think the route that takes you around the circle is faster because you don't have to turn so you basically keep about the same speed.Information I need to know would be what is the traffic like on each road everyday.I can solve this without needing a length.]]> 2020-09-18 17:04:22 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/759593690 lcole79 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/760226683 2020-09-18 20:01:16 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/760226683 vchruma https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/761117972 I think the route that would be quicker is the blue route. The reasoning for this is because when you go on the middle route, you don't have to pass as many triangle segments, therefore making it a shorter route. Also because I did some calculations and it looks like the blue line route is aprox. 4.4 miles long and the red route is aprox. 6 miles long.]]> 2020-09-19 17:04:38 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/761117972 mduvalois https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/761970626 2020-09-20 13:18:28 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/761970626 awineman https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762004481 I believe that the blue route is the faster route because it's proven that going down a more straighter route than a curved bend gets you to your destination quicker. The math also proves that blue path is roughly 2 miles shorter than the red one.]]> 2020-09-20 14:03:54 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762004481 dhampton14 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762446909 I believe that the blue route is the fastest route. The red route first curves up for while and then it goes down. The Blue route goes up a little and then goes straight and then up to the point. The blue route is almost always heading towards the destination while the red goes way farther up than it should and takes longer because it has to go down while the blue doesn't. As you can see in my drawing, the blue goes much straighter to B than red does.]]> 2020-09-20 22:10:30 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762446909 jgalvin10 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762540647 So I started with finding the circumfrence of the circle. The formula is C=2πr So I then divided the diameter(4.8 kilometers)by 2 getting our radius of 2.4 kilometers. After I plugged that into the formula I got a circumfrence of 15.072. I rounded it to 15.07 and then divided it by 2(because the red line seems to go halfway around the circle)I got an answer of 7.54. I estimated the sides of the blue lines and concluded that the blue line was shorter than the red line.]]> 2020-09-20 23:59:50 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762540647 cclinedinst https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762604271 I think that the blue route is faster because I calculated the circumference of the circle and it was around 9.4 miles long, dividing that in half gave me the length of the red path, 4.7 miles. Going straight through the middle would be just over 3 miles, as shown in the video, making the blue route fastest.]]> 2020-09-21 00:43:55 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762604271 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762721536 i believe that they are both the same because of the formula C=2pir if you look at the blue line as the radius and you look at the red line as (in my own words1pir) then 1pir is half of the circumference which would be the red line because its half the circle . now if you cut the circle into sixths and put and draw the equation on the circle 2pir than you can see that 2 radius's or the (diameter)is 2/3 of half the circle but since the blue line doesn't go straight across and it turns on both sides that and each turn on that line create half of a third or a twelfth of the circle than both side that turn make one more third and now the blue line is 3 sixths of a circle therefor since both the red line and the blue line are three sixths of a circle than they are both the same lengths. (i didn't use google maps so i could be wrong because the circle might not be exactly the same and in reality on path could be shorter than the other but this is my guess.)]]> 2020-09-21 01:51:38 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762721536 bcairns4 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762804280 I think the quicker route is the blue route because if you straighten the red route out into a straight line, and compare it to the blue one even with the extra parts, its still going all the way around instead of going straight forward and cutting through.]]> 2020-09-21 02:41:50 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762804280 syang94 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762926779 I think the blue route is shorter than the red route.
I wrote my prove on my sketch(image)]]> 2020-09-21 04:08:50 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/762926779 nachenbach1 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/763699092 I think the blue route is shorter. The total circumference of the rotunda is 15.08 km. The red path is half of the total circumference which is 7.54 km. The blue path goes along the diameter of the circle which is 4.80 km. With the added turns on each end of the blue path, the total length of that path might add up to 6 km, maybe 6.50 km. I was able to calculate the circumference of the circle because the diameter was provided (The diameter is 4.80 km). The formula for calculating the circumference is 2π × r. r stands for radius. The radius can be gleaned by dividing the diameter by 2. So the radius is 2.40 km. Punch those numbers into the formula for the circumference and you get 15.08.]]> 2020-09-21 11:35:20 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/763699092 edelaurier https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/763701842 I have come to the conclusion that the blue route is shorter then the red one are almost the same length. My reasoning is is that the the circumference of a circle is always bigger than the diameter.   If you look and eyeball it the if you take the curved side of the blue line on the left and put it with the right and reangled the line to where it is pointing at point B the line goes past point B. The area of of the circle is 11.20 sq miles and the diameter is 4,793 m and circumference of half is 7,166 m if you divide 7,166 into four parts then you get 1791.5 m and divide 4,793 into four parts then it's 1198.25 m so if you add the diameter 4,793 meters and 1791.5 meters you get 6584.5 meters this is the blue route and if red is 7,166 meters then blue is shorter.]]> 2020-09-21 11:36:49 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/763701842 areyes133 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/763716158 The blue line is very slightly shorter than the red line. My first guess was the blue line so I sketched it on a piece of paper then drew the red line which is half the length of the entire circle and drew the blue line which is just under half the length of the entire circle. So I am gonna say the blue line is the correct answer.]]> 2020-09-21 11:44:30 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/763716158 dchristopher6 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/764153656 The blue looks shorter it because its going straight threw the center of the circle and the red is going on the circumference so it made it seem like that it could be that the red would be slower cuz it would take longer to go around then to go straight threw.]]> 2020-09-21 13:46:21 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/764153656 syoder19 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/764176380 The blue line is shorter I  think because the red line takes you on a longer route because you curve around instead of going straight for the most part. As we know the fastest route to something is straight so the blue route goes straight mostly and dose not curve. But the Diameter is 4.8 Kilo meters and the Radius is half so 2.4 kilo meters so yo do 2πr which equals 15.08 kilo meters so half of that is 7.54 kilo meters 
Red line= 7.54 kilo meters and the blue line = 4.8 kilo meters. So the blue line is faster . ]]> 2020-09-21 13:50:43 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/764176380 sdong12 https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/771917396 2020-09-23 13:18:36 UTC https://padlet.com/jmacdonald40/6pteeilr6z409b1m/wish/771917396