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Find the Area !

Commander
in Brain Teasers and Puzzles

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The  strip shown has two sides : A straight line of 1 Unit Length and an arc from a Circle having a radius of 1 Unit !

The diagram is shown below.

Find the Area of the Strip in Square Units of the same Unit !

Area30Jul24WhatsAppImage2024-07-26at6_06_39PM.thumb.jpeg.387c6297eec73f0cfa4bb82b7282cfbc.jpeg

 

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Well, your circle sector (from which you would subtract the triangle to get the segment shown) would be 60 degrees, since you have an equilateral triangle in there (sides all equal one unit).  So plug in the sector formula, then subtract the triangle from that area.

  • 3 weeks later...
  • Author

The area is around 0.0913 

Pi/6 - (Sqrt 3 /4)

Using Pi = 22/7 gets this result !

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