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Triangle ABC is an equilateral triangle and O is the center of its inscribed circle. If the area of the circle is 4pi sq cm, what is the area, in square centimeters, of triangle ABC? Express your answer in simplest radical form.

 

Thanks again!

 #1
avatar+12560 
+2

Note:  Units should be cm^2  (got cut off in scan)

 

(if you need EXACT values use  tan30 = 1/sqrt3    tan60=sqrt3  )

 

ElectricPavlov  Mar 2, 2018
edited by ElectricPavlov  Mar 2, 2018
 #2
avatar+1442 
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Thanks so much Pavlov!  Just to confirm, the total area is 20.78, right?  Or is 1/sqrt3 more accurate...

 #3
avatar+12560 
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Area = 20.78  cm^2

 

If you need an answer with radicals in it (an EXACT solution)   , you will need to use

tan30 = 1/sqrt3     and tan60 = sqrt(3)  in the calculations to get the final answer

ElectricPavlov  Mar 2, 2018
 #4
avatar+1442 
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Thank you, sorry I'm super ignorant here but, what would that calculation look like?

edited by AnonymousConfusedGuy  Mar 2, 2018
 #5
avatar+1442 
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12sqrt3?

 #6
avatar+12560 
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Yessss!!    12 sqrt(3) !

ElectricPavlov  Mar 2, 2018

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