Coping mechanism
My depression has manifested from a long list of problems i have in my life and often feels too overwhelming to deal with. Although my depression is hard to deal with, i do try to cope with my depression as best as i can by indulging in my usual hobby’s (playing guitar, piano and writing songs).
But since a year ago i gained a perhaps peculiar interest…i became interested in mathematics as a hobby! Never thought it would spark my interest since i have not had proper math lessons during elementary and high school. I was never properly taught how to do fractions, percentages, long division, ratio’s and so on.
There is just something about solving math problems that puts me at ease…maybe because it feels like those are the few problems that i’m able to do something about and gives me a sense of control in my life. It’s also just personally fun for me to do (even when it gets really hard and i fail miserably lol!).
Today i solved a fun math problem, perhaps someone may be interested to give it a try! (Or if math does not interest you, just tell me about your hobby’s that help you cope – curious to know!)
In the left drawing, the area outside the triangle is colored red. In the right drawing, the area outside the circle is colored green.
Tip: The area of a circle is 3.14 x (radius)².
The total area of the red areas is related to the total area of the green areas as the ratio:
A. 1 : 0,46
B. 1 : 0,5
C. 1 : 0,4
D. 1 : 0,43
12 comments
(a+b)*c
about a year ago, when lockdowns started, i learned about radix conversion. that was fun. i am not good at math though, how are you learning this stuff exactly?
(a+c)*b it was supposed to be
How did you derive to your answer? i’m usually bad at explaining my answer xd
Never heard about it before. What’s radix conversion about?
I tend to learn math by challenging myself with problems as well as think deeply about it and try to understand it. I like to think of hypothetical math questions through out the day.
One day i was thinking about math deeply and i came up with a neat little trick to calculate square numbers that tend to be bigger than say 20^2
radix conversion is just something that computers must do to display numbers for users in a decimal format that’s easy for them to understand.
i read so much about this whole topic that i learned about ten ways or so to do radix conversion, and i have concluded that there is no one best way to do it. every single way is useful in some situations. which one is the most optimal one mostly depends on the type of computer, the hardware. so in the end i was super satisfied, even though i just learned ten ways to do a single thing. it kinda like made me confident about the whole thing, like i understood the whole topic.
but when it comes to math, i am just bad at it. i mostly just don’t know what i’m doing, so i just always feel stuck, i don’t know how to learn math because, maybe, i learned it all wrong at the very beginning, in elementary school. so i don’t know how to explain what i’m doing either.
and i wouldn’t even know when to find problems like the one you just did.
but maybe this could explain it, it’s what wolfram alpha wanted to tell me:
e=b/b/b
f=e/b
g=f-a-c
h=(f-g)/e
h=(f-(f-a-c))/e
h=(f-f+a+c)/e
h=(a+c)/e
h=(a+c)/(b/b/b)
h=(a+c)/(1/b)
h=(a+c)*(b/1)
h=(a+c)*b
i think i know i tiny bit about that
just have ZERO idea how it can be used to solve this particular problem
: D
Thanks for the reminder though
it’s a cool concept!
Radix conversion sounds bad ass! I’m gonna look into it on YouTube. Thanks for sharing Pa47385!
I envy your ability to focus on such things. IF I could focus on maths, I could get back into exam prep and take another run at grad school.
Sadly when I was ignored by every grad school I applied to in spring 2020 it pretty much killed my ambition. I like maths when they have purpose, but interesting problems are a rare thing to me.
I’m so sorry to hear about your grad school applications getting declined…i’ve known rejection all too well in my school career. It has demotivated and made me lose believe in myself.
But there is just something that sparks my interest in math and i think it’s just this unwavering curiosity and willingness to understand what i know nothing about…that curiosity has always been there even in elementary school when i would rather read an astronomy book than study geography haha.
I hope something may spark that curiosity in you and that it will help you pursue your academic ambition! 🙂
guys there are a whole bunch of Online Grad Degrees these days [like Most Specially ‘these’ days 😀 ], You just delete that experience from your memory & start a ‘fresh’ search, online this time… I think to many of the available options, they can’t even refuse You, You just apply & you’re in!
Here goes 😀
*}
Let
SquareSideLength=[2X]
—–
*}
Thus:
**}
SquareSideLength=[2X]
SquareArea=Side(x)Side=[2X](x)[2X]=[4X(^2)]
—
**}
TriangleBase=SquareSideLength=[2X]
TriangleHeight=SquareSideLength=[2X]
TriangleArea=[0.5](x)Base(x)Height=[0.5](x)[2X](x)[2X]=[2X(^2)]
—
**}
CircleDiameter=SquareSideLength=[2X]
CircleRadius=[0.5](x)CircleDiameter=[0.5](x)[2X]=[X]
CircleArea=[3.14](x)[CircleRadius(^2)]=[3.14](x)[X(^2)]=[3.14X(^2)]
—–
*}
Thus
**}
RedArea=SquareArea(-)TriangleArea=[4X(^2)](-)[2X(^2)]=[2X(^2)]
—
**}
GreenArea=SquareArea(-)CircleArea=[4X(^2)](-)[3.14X(^2)]=[0.86X(^2)]
—–
*}Thus
*Ratio*
RedArea(:)GreenArea
=[2X(^2)](:)[0.86X(^2)]
#{DivideBy\CrossOut [X(^2)] on both sides as a Common Factor}
=[2](:)[0.86]
#{DivideBy [2] on both sides as a Common Factor}
=[1](:)[0.43]
—–
Answer is *D*
: D
Spot On Mate!
i too think Math is some AwEsOmE brain-exercise\therapy!!
please do keep posting anything You come across
: )
Well done on solving the math puzzle! I’m happy to hear someone else also finds mental peace in doing math problems 🙂
If i run across some other interesting math problem i’ll keep you posted!