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What is the value of the θ in case of most economical circular channel section?

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in Fluid Mechanics by (118k points)
What is the value of the θ in case of most economical circular channel section?

(a) 128°45′

(b) 129°45′

(c) 130°45′

(d) 131°45′

I got this question in examination.

I would like to ask this question from Most Economic Circular Section topic in chapter Flow in Open Channels of Fluid Mechanics

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The correct answer is (a) 128°45′

The explanation is: tan⁡ 2θ=2θ where θ= 128°45.

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