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Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
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to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
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\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
If I had to guess, it involves the area of a circle and triangle... @Hamza Anushath
A=πr2 and A= 2bh or A= 21 absinC
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I made this animation up by myself too @Yajat Shamji!
What I meant was, is there any relationship between the area of the triangle and the area of the circle?
If we assume the circle to be a unit circle and let the variable angle α here, then the height of the triangle will be sin(α).
\[\begin{align} A &= \dfrac{1}{2}bh \\ &= \dfrac{1}{2}(1)(\sin{(\alpha)})
\\ &= \boxed{\dfrac{1}{2}\sin{(\alpha)}} \end{align}\]
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Excuse me @Mahdi Raza, what do you assume as the triangle? The triangle with the right angle, or the triangle without the right angle?
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I believe it's the triangle without the right angle...
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@Mahdi Raza!
If that is so, then thanks