?[T] The Reuleaux triangle consists of an equilateral triangle and three regions, each

Chapter 5, Problem 120

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[T] The Reuleaux triangle consists of an equilateral triangle and three regions, each of them bounded by a side of the triangle and an arc of a circle of radius s centered at the opposite vertex of the triangle. Show that the area of the Reuleaux triangle in the following figure of side length s is \(\frac{s^{2}}{2}(\pi-\sqrt{3})\) .

Text Transcription:

s^2/2 (pi - sqrt 3)

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