Prove the red area is same as blue area. (Yes it is quarter-circle and semi-circle) So yes, you are dealing with area and that formula A = π r2 is useful here.
Of course, I am able to prove it without looking at the solution.
It is a pleasure to do little proof like this... you get some givens... Ok you tell me this... this means... that... Oh in another place you tell me this... this means some other things. Link them together you will get the conclusion.
What's the use of it you say? Nothing too useful. But it is exercise of the mind... to see if you can link things together.
Every high school sophomore should be able to do this!
Tuesday, March 15, 2016
A pi day problem
Came across this problem:
https://www.theguardian.com/science/2016/mar/14/can-you-solve-it-the-pi-day-puzzle-that-will-spin-you-in-circles for π day
It has been a LONG time I ever even attempt to prove anything.
Prove the red area is same as blue area. (Yes it is quarter-circle and semi-circle) So yes, you are dealing with area and that formula A = π r2 is useful here.
Of course, I am able to prove it without looking at the solution.
It is a pleasure to do little proof like this... you get some givens... Ok you tell me this... this means... that... Oh in another place you tell me this... this means some other things. Link them together you will get the conclusion.
What's the use of it you say? Nothing too useful. But it is exercise of the mind... to see if you can link things together.
Every high school sophomore should be able to do this!
Prove the red area is same as blue area. (Yes it is quarter-circle and semi-circle) So yes, you are dealing with area and that formula A = π r2 is useful here.
Of course, I am able to prove it without looking at the solution.
It is a pleasure to do little proof like this... you get some givens... Ok you tell me this... this means... that... Oh in another place you tell me this... this means some other things. Link them together you will get the conclusion.
What's the use of it you say? Nothing too useful. But it is exercise of the mind... to see if you can link things together.
Every high school sophomore should be able to do this!
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