two circles pass through each others Centre if an Arc of length L of the first Circle subtends theta Radian at its centre and an Arc of length m of the second circle subtends phi Radian at its centre and prove that L phi equals to M theta
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Every book use this fact in explaining radians and the fundamental arc length equation s=rθs=rθ. However no book proofs this fact.
Is this fact some axiom, some natural law like ππ and the triangle side proportions?
Can I proof the above? Or is it something that you should just accept?
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