SOLUTION: ABC is an equilateral triangle with sides of length 5cm. AB, AC and BC are arcs of the circles having their centers at C, B, A respectively. Find the total area of the non-shaded r

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Question 1148867: ABC is an equilateral triangle with sides of length 5cm. AB, AC and BC are arcs of the circles having their centers at C, B, A respectively. Find the total area of the non-shaded region of the diagram, in cm2
Diagram: https://imgur.com/a/MIy1nPL
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Take 1%2F6 of the area of the circle with the radius of 5 cm.


Subtract from it the area of the equilateral triangle with the side length of 5 cm.


Take this difference 3 times.


    area = 3%2A%28%281%2F6%29%2Api%2A5%5E2+-+%281%2F4%29%2A5%5E2%2Asqrt%283%29%29 = 6.774 cm^2  (approximately)    ANSWER

Solved.