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#1 2007-05-24 18:22:36
- Daniel123
- Power Member
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Who discovered this?
I heard this on the radio a while ago, but i did not hear who discovered it - i would like to know who did discover it before applying it to anything.
The area of a right-angled triangle and a circle will be equal if:
i) the height of the triangle is equal to the radius of the circle
and
ii) the base of the triangle is equal to the circumference of the circle
I have looked on the internet but cant find anything on it.
A little explanation about it would be nice too:).. but im only 15 so it needs to be kept fairly simple.
Thanks.
#2 2007-05-24 19:18:06
- mathsyperson
- Moderator
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Re: Who discovered this?
It's fairly easy to see why this is true if you think about their formulae.
The circumference of a circle is given by 2πr, where r is its radius.
So that means that your right-angled triangle has a base of 2πr and r.
The area of a right-angled triangle is given by 1/2 base x height.
So that means that the area is 1/2 x 2πr x r = πr², the area of a circle.
I'd never heard that theorem(?) before, but because it's a fairly easy proof, I wouldn't think that it was discovered by anyone very significant.
Why did the vector cross the road?
It wanted to be normal.
#4 2007-09-06 23:21:00
- makada
- Novice
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Re: Who discovered this?
Dont feel bad.
Sometimes it is the simple questions in life which lead us to the great things
When I was your age, even I used to ask all sots of questions in class, sometimes I would get snubbed but then other times I learnt a lot.
Never shy away from asking for if there were no questions we would never get the answers
Last edited by makada (2007-09-06 23:22:13)