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The center of a circle is at a vertex of an equilateral triangle as shown. If the area of the circle and the equilateral triangle are both 10, what is the combined area of the two gray regions?

 

 Sep 5, 2021
 #1
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Shaded area = 20 - 1/6(10)

 Sep 5, 2021
 #2
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What is the combined area of the two gray regions?

 

 

The combined area of the two gray regions is \(20-2\cdot\frac{1}{6}\cdot10=\color{blue}16\frac{2}{3}\)

laugh  !

 Sep 5, 2021

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