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ABC is an equilateral triangle with side length 6. Arcs are drawn centered at the vertices, connecting the midpoints of consecutive sides as shown. Find the area of the “triangular” region in the middle. 

 May 27, 2020
 #1
avatar+30913 
+1

ABC is an equilateral triangle with side length 6. Arcs are drawn centered at the vertices, connecting the midpoints of consecutive sides as shown. Find the area of the “triangular” region in the middle. 

 

 May 27, 2020
 #2
avatar+1322 
+1

That's too easy...  

  

The area of the middle region is      A = {[ sqrt ( 6² - 3² )] *3} - (3² pi / 2) 

 

                                                         A = 15.58845727 - 14.13716694

 

                                                         A = 1.451290329 u²     indecision

 May 27, 2020
edited by Guest  May 27, 2020
edited by Dragan  May 28, 2020
edited by Dragan  May 28, 2020

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