Grand
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Homework Statement
Equation of a circle is:
[tex]x^2+(y+a)^2=R^2[/tex]
x intercepts are [tex]+/-\sqrt{3}[/tex] and arclength above x-axis is [tex]\frac{4\pi}{3}[/tex]
Find a and R.
Equation of circle with arc length
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Equation of a circle is:
[tex]x^2+(y+a)^2=R^2[/tex]
x intercepts are [tex]+/-\sqrt{3}[/tex] and arclength above x-axis is [tex]\frac{4\pi}{3}[/tex]
Find a and R.
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Grand
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Hello, I've been tackling the problem for a while and the equation that I managed to come up with is:
[tex]\arcsin{\frac{\sqrt{3}}{R}}=\frac{4\pi/3}{2R}[/tex]
I can't solve it, and haven't found anything else useful.
[tex]\arcsin{\frac{\sqrt{3}}{R}}=\frac{4\pi/3}{2R}[/tex]
I can't solve it, and haven't found anything else useful.
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Grand
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Well, is it? Even though it is stated in the book, I want to find a way to actually obtain it. Is there a way?
Grand
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Taylor was my guess too, but here we aim at an exact answer, so we should not use it. Even though, how would you guess the answer?
Grand
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Yeah, alright. But come on, there must be some rigorous way doing it - I've been solving it for couple of hrs now, even managed to prove Pythagoras with it.