You then solve for the area of each of the three circles. If you do a bit of subtraction you can find out how much shaded, then white or ‘non-shaded’, and total fabric you needed for this logo.
Happy Friday! Just to let you know I am seeing a vast improvement in the caliber of your writing and your explainations. Please continue to write as if you are explaining the process to someone who does not understand how to proceed with the problem at all.
Here is your problem:
Jocie was decorating her notebook with her High School’s cheer logo. The School logo is shown below. The logo includes two different fabric types. The shaded and un-shaded pieces are made of different materials.
Questions to address:
1 - How much material does she need for the shaded area?
2 - How much material does she need for just the un-shaded area?
3 - Show the steps to your solution; make sure to explain every step as you write it.
(My bad I wrote meters it should be centimeters.)
Ms. L.
19 comments:
Area of the circle- 7.54385 centimeters
Circumference of the circle- 9.734 centimeters
I know that the number of centimeters between 1.25 and 1.8 is .6 centimeters. I also know that from the place where the dark green meets the edge of the circle to where the light green does is 3.1 centimeters. I do not know how to figure out the rest of the problems. Ms. Miller taught us how to find the area of an odd shape, but I forgot so I think that I need more teaching in this subject.
SV
1. Area of the circle is 7.54385 cm
Circumference of circle 9.734 cm
This tells me that the area and circumference of the circle Jocie drew. I definitely don’t get this P.O.W I think I need to learn more about this section in math, but I do recall Ms.Miller teaching us just I can’t really remember what to do. I really don’t get what to do with the numbers and I don’t know where to start. I tried a couple of ways to solve this but then got stuck, so in conclusion of all this I need help with finding the area of unfamiliar shapes!!!!!!!! If this was a problem with regular shapes I would be able to do it, DUH!!! LOL!!!
JL2
When I read the problem, I had no idea how to do it. I did not know how to find how much she needed to make the colored fabrics, and I thought it had to do with radius and circumference.
Then I remembered that diameter multiplied by pie equals area. We multiplied and got these answers:
Area of the circle-7.54385
Circumference of the circle-9.734
I then didn’t know what to do, so I started collecting my information that might be helpful to finding the solution. I knew that .60 centimeters was how big the fattest part of the colored area. I also knew that it had to do with the area and perimeter.
I started thinking about splitting it up into normal shapes so I could find the area, but I couldn’t find any normal shapes, either.
Then I started thinking about question 2, and I knew that I had to finish question 1 before I started to do question 2. I saw that the divided, uncolored part was the same as the other. If I found the answer to question 1, then I could just minus the area of the colored part by the area of the circle, and I would have the answer for the area of the uncolored part.
I came to an end here, and I couldn’t figure out how I will be able to find the area of the colored and uncolored part of the circle that Jocie was making on her notebook.
Pow MRG
Happy Friday! Just to let you know I am seeing a vast improvement in the caliber of your writing and your explanations. Please continue to write as if you are explaining the process to someone who does not understand how to proceed with the problem at all. :-)
Here is your problem:
Jocie was decorating her notebook with her High School’s cheer logo. The School logo is shown below. The logo includes two different fabric types. The shaded and un-shaded pieces are made of different materials.
(Important tip! The dimensions are difficult to read in the blog - if you click on the picture you will get a clear picture and will be able to read the dimensions shown. :-) )
Questions to address:
1 - How much material does she need for the shaded area?
2 - How much material does she need for just the un-shaded area?
3 - Show the steps to your solution; make sure to explain every step as you write it.
Have fun and yes you may work together but you must submit your own post -IN YOUR OWN WORDS!!!! :-)
Ms. L.
1.) The whole circles area is 7.54 centimeters by pi r squared. The amount of material Jocie will need for the shaded area is 1.887 square centimeters.
2.) The un-shaded is 7.54 minus 1.887 which is 5.653 so the un-shaded area is 5.653 that is how much she will need.
3.) For # 1 you cut the circle in half and you can fit the first shaded can fit in the top left corner. Then after you fit all of them it is one-quarter of the circle is shaded. Then you dived 7.54 by ¼ and get 1.887. Then you subtract 1.887 by 7.54 and get 5.653 for the un-shaded.
D.E.
Jocie was decorating her notebook with her High School’s cheer logo. The School logo is shown below. The logo includes two different fabric types. The shaded and un-shaded pieces are made of different materials.
(Important tip! The dimensions are difficult to read in the blog - if you click on the picture you will get a clear picture and will be able to read the dimensions shown. :-) )
Questions to address:
1 - How much material does she need for the shaded area?
2 - How much material does she need for just the un-shaded area?
3 - Show the steps to your solution; make sure to explain every step as you write it.
Have fun and yes you may work together but you must submit your own post -IN YOUR OWN WORDS!!!! :-)
Ms. L.
Questions
1. The area of the whole circle is 7.54, so then Jocie would need 1.887 of centimeters of fabric material for her notebook. I figured that the pieces of the shaded area would fit into the circle 4 times.
2. Jocie would need 5.653 square centimeters of material.
3. I first had to find the total area of the whole circle. I did pie times r squared and I got 7.54. Then I imagined how many times the shaded are pieces would fit into the circle, and I got 4 times, so I did 7.54 divided by 4, and then got 1.887. To get the second question I did 7.54 – 1.887 and I got 5.653 square centimeters of fabric. I estimated though, so I am not sure clearly. It was confusing, and I needed some help from my friends.
POW
1. Area of a circle 7.54385cm
Circumference of the circle 9.734 centimeters
This tells me that I have the area of the whole circle but not of how many materials Jocie needs. I definitely don’t get this POW because I don’t know what the #’s stand for, I don’t know how to answer the questions, and I don’t even know where to start?
As you can see I tried to figure it out but I’m just not gettin it. I’m so clueless….. I would be able to figure it out if it was a regular shape but it’s certainly not.
When I read any problem usually I can sit down and take the time to understand it… (well most problems) and this problem I just can’t!!!!!!!!
CAN SOMEONE PLEASE HELP ME
sm
Area of circle: 7.739786 pie r squared
Circumference: 9.734 diameter time’s pie
That is pretty much all I got… I am not totally sure what these numbers represent except that they are measurements that Jocie got while measuring the logo… I don’t even know where to start… you could say im pretty clueless right now (and I really do not like feeling clueless….)
JL1
3.14/2=1.57-radius
3.1x3.14=9.734-circumfrence
The area of the circle is 7.739786
And I have no idea what to do with these numbers. I tried and if those “shaded areas” had been non-curvy I would have been able to do it. Maybe. I think maybe the amount of fabric you need for the non-shaded areas is the area of the circle but still I don’t know. I hate not knowing.
C.H.
1 - How much material does she need for the shaded area?
2 - How much material does she need for just the un-shaded area?
3 - Show the steps to your solution; make sure to explain every step as you write it
1) The area of the circle is 7.54 square centimeters. Jocie would need 1.887 square centimeters of fabric to fill the shaded area.
2) Jocie would need 5.653 square centimeters of fabric for the un- shaded part of the logo.
3) The first step I did was I split the circle in half horizontally and vertically. Then I focused on the top left area of the circle. I realized that the curving area of the logo in the top left portion and the bottom right portion of the circle fit together in the top left portion of the circle. Then the portion of the logo in the top left portion and bottom right portion of the circle fit into the little half circle in the top left portion where I earlier put the other parts of the logo. After I realized that the entire logo fit into one fourth of the circle. So I divided the total area (7.54) by 4 which was 1.887 that the total area of the logo. Then I subtracted 1.887 from 7.54 and got 5.653, this was the area of the un-shaded area
1. Jocie would need 1.887(rounded) square centimeters of material for the shaded area of the school log.
2. Jocie would need 5.66(rounded) square centimeters of material for the un-shaded area.
3. For the first question, first I found the area of the circle (3.14*1.55squared). Then I found out that all of the shaded material fit into one fourth of the circle (thanks to Cooper). So then I divided the area of the circle by four because all of the material fit into one fourth of the circle. For the second question I just subtracted my first answer (1.887) by the total area of the circle (7.547 rounded).
R.B.
Small White Circle area: 1.22
Shaded Circle area: 2.68
Whole Circle area: 7.54
Subtract Shaded Circle from Small White Circle and get 1.46
Add both of the circles and subtract the area of the Whole Circle and end up with 3.64
She needs 2.68 for the shaded area of the circle.
For the not shaded area of the circle, she needs 4.86
Steps are written above!!!!!!!!!!!!!
-B.B.
10/19/07
Period 8-9
P.O.W.
S.S pow
The circumference of the circle is: 9.734 Cm
The Area of the circle is: 7.54385 Cm
1.)So she needs 1.4601 Cm of colored fabric.
2.) I got 6.08375 Cm for the non colored fabric.
3.). 925 cm is the radius of the to shaded areas.
So if I want to do area of the circle I do 9.25 Cm times pie squared which is 2.6866625. Then I have to minus the extra circle I added to by putting the two shapes next to each other. The radius is .625 Cm then I do the formula for area. It is 1.2265625, I minus the smaller circles to get the fabric size, it is 1.4601. Now to get the area of the non shaded part I do 7.54385 subtract 1.4601 go get 6.08375.
Could you plese tell me if i got this right? I had trouble with this one but i think i got it right.
S.S
The circumference of the circle is: 9.734 Cm
The Area of the circle is: 7.54385 Cm
1.) So she needs 1.4601 Cm of colored fabric
2.) I got 6.08375 Cm for the non colored fabric.
3.).925 cm is the radius of the to shaded areas.
So if I want to do area of the circle I do .925 Cm times pie squared which is 2.6866625. Then I have to minus the extra circle I added to by putting the two shapes next to each other. The radius is .625 Cm then I do the formula for area. It is 1.2265625, I minus the smaller circles to get the fabric size, it is 1.4601. Now to get the area of the non shaded part I do 7.54385 subtract 1.4601 go get 6.08375.
i would like to know if i got this one right. i had trouble but i think i got this one, please tell me if i got this right, it might be kind of messy, posted at the last minute. S.S
BJ POW
Imagine the lower shaded area (light green) has flipped around and the corners of both shaded area touch each other and create a circle inside the large white circle.
Circumference: 9.734 or 9.73
Area of large white circle: 7.54385
Small white circle: 1.2265625
Shaded area + small white circle: 2.6866625
Shaded area - small white circle: 2.6866625-1.2265625= 1.4601
Area of large white circle – area of shaded area: 7.54385-1.4601= 6.08375
The total of the Shaded Area = 1.4601sq. Meters
The total of the Non-shaded Area= 6.08375
! KEY!
The (small white circle) = is the circle created in
the circle made by the shaded area.
unshaded=.625= radius area =1.2265625 big circle radius=.925 or .855625, 2.6866625 total =1.4601= shaded total
7.54385=big circle. 1.55=radius times itself 2.4025 times Pi = 7.54385 total empty space= 6.08375
Jocie needs 1.4601cm squared of fabric for the shaded space. I found this because it looks like the two spots of shaded material on the top and bottom of the circle, if you put them together, make a full circle with a little empty circle in it. Now if you use the formula for finding the area of a circle, Pi time radius squared.
The total amount of empty space is 6.08375cm squared.
John Kalos the Blondie
By A.H.
Mini white circle area=1.2265625cm
Shaded circle area=1.4601cm
Giant white circle area=4.8571875cm
Shaded fabric needed=1.4601cm
White fabric needed=6.08375cm
I realized there were three sets of circles. The small half circles, the colored half circles, and the big white circles all had two pieces so I knew I could put them together to make three circles. The small white circle has a diameter of 1.25 so I divided it by two to get the radius, which is .626cm., then I multiplied it with the rule to find the circle area which a equals pi times r squared. Then I did the same thing with the other two circles. Then I subtracted the area of the smaller circle from the shaded circle to get the exact area of the colored circle because part of the circle is white fabric. This told me how much colored fabric she needs. Then I added the area of the small white circle to the colored area, then subtracted it from the area of the big white circle to get the exact area. Finally, I added the area for the big circle and the area of the small circle to see how much white fabric she needed.
J.B. POW
1.The amount Jocie will need for the shaded area is 3.70 centimeters. I got this amount by doing 1.85x2 because that the distance of the shaded areas taken apart by the darker and the lighter parts. Each one of those parts is 1.85 so i multiplified that by two.
2.The amount of white fabric Jocie will need is 5.00 centimeters. I got this by first doing 3.1x2=6.2 then 6.2-3.7=2.5 then I had to figure out the amount of fabric that I hadn't gotten the amount foryet so i did 1.25x2 because that was the distance of that area and i got 2.5 then I added the amount of fabric that I had just done so 2.5+2.5=5.00 centimeters.
C.H.C.
POW
The amount of shaded material needed to make the shaded area is 1.86 centimeters. I found my answer by using the equation for finding the area of a parallelogram which is wxh or width x height. I found the width by finding the two largest points or where the width is the most. Which is 1.25cm through 1.85cm which is 6cm. The width is 6cm,. I found the height of the equation by flipping the equation vertically, so actually the length is the height. So, 3.1cm is height. Next I multiplied .6cm x 3.1cm=1.86cm and that’s how I got my answer.
The area of the blank is 5.676. I found my answer by taking the area of the circle then subtracting area of the shaded figure to get 5.676cm. I found the area of the circle by using the equation 3.14 x 1.55 squared which is 7.536. Then I found the amount of shaded material needed to make the shaded area is 1.86 centimeters. I found my answer by using the equation for finding the area of a parallelogram which is bxh or width x height. I found the width by finding the two largest points or where the width is the most which is 1.25cm through 1.85cm which is 6cm. The width is 6cm,. I found the height of the equation by flipping the equation vertically, so actually the length is the height so 3.1cm is height. Next I multiplied .6cm x 3.1cm=1.86cm, and that’s how I got my answer!
POW M.R
1.) The area of the circle is 7.54 square centimeters she needs 1.885 square centimeters of colored cloth for the logo on her note book. She needs that much because 7.54/4 because there is ¼ cloth then area of the circle.
2.) For the un-shaded area she will need 5.655 because 1.885 multiplied by three considering the size of the circle 1.885*3=5.665
3.) The steps for my solution are 3.1 divided by 2 = 1.55, 1.55 multiplied by itself or squared is 2.4025 that multiplied by 3.14 or pie is 7.54. 7.54 divided by 4 to equal the shaded area is 1.885 then that multiplied by 3 relating to ¼ the area of the circle is 5.665.
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