SOLUTION: ABC is an equilateral triangle with sides of length 8 cm. Arc- AB, Arc-AC and Arc- BC are arcs of circles having their centres at C, B and A respectively. Find the total area of th

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Question 1208984: ABC is an equilateral triangle with sides of length 8 cm. Arc- AB, Arc-AC and Arc- BC are arcs of circles having their centres at C, B and A respectively. Find the total area of the non-shaded region of the diagram, in cm2.
https://ibb.co/pyVMjVQ

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
ABC is an equilateral triangle with sides of length 8 cm. Arc- AB, Arc-AC and Arc- BC are arcs
of circles having their centres at C, B and A respectively.
Find the total area of the non-shaded region of the diagram, in cm2.
https://ibb.co/pyVMjVQ
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The non-shaded area consists of three disjoint congruent shapes.


For each shape, its area is 1/6 of the area of the circle with the radius of 8 cm
minus the area of the equilateral triangle with the side of 8 cm.


So, the non-shaded area is  


       =   =  = 


    =  = 17.39244  cm^2  (rounded).    ANSWER

Solved.



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