SOLUTION: What is the area of the smaller of the two concentric circles if the side length of the equilateral triangle is 8cm? Image- https://media.discordapp.net/attachments/802751414874

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Question 1175877: What is the area of the smaller of the two concentric circles if the side length of the equilateral triangle is 8cm?
Image- https://media.discordapp.net/attachments/802751414874537995/814628897253621810/wP4nMFfWeYnrAAAAABJRU5ErkJggg.png

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
What is the area of the smaller of the two concentric circles if the side length of the equilateral triangle is 8cm?

let radius of greater circle be , radius of smaller circle be , the height of the equilateral triangle, and the side of the equilateral triangle
from the given image you can see that radius of greater circle is equal to height of the equilateral triangle, and

if the side , then





the area of the smaller of the two concentric circle is


the area of the smaller circle is:





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