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The diagram shows a circle and an equilateral triangle.

One side of the equilateral triangle is a diameter of the circle.
The circle has a circumference of 44 cm.

Work out the area of the triangle.
Give your answer correct to 3 significant figures.

(3 marks)

thank you so much

 Feb 26, 2020
 #1
avatar+1128 
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The area of the triangle is   84.939 cm²  laugh

 Feb 26, 2020
 #2
avatar+111438 
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Circumference =      pi * diameter

So

44  = pi*diameter

44/pi  =  diameter  =  side of  equilateral triangle

 

 

Area  of an equilateral triangle = 

 

(sqrt(3) / 4 ) * side^2   =

 

(sqrt (3) /  4)  *  (44/pi)^2   ≈  84.94  cm^2

 

 

cool cool cool

 Feb 26, 2020

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