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OpenStudy (anonymous):
Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.
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OpenStudy (anonymous):
|dw:1339632973124:dw| all we need is the diameter (or radius) of this circle so we can plug it into the formula for the area of a circle...
OpenStudy (anonymous):
each angle in the equilateral triangle is 60 degrees and if i bisect one of the angles as shown, it will go through the center of the circle... agreed? |dw:1339633139100:dw|
OpenStudy (anonymous):
agreed
OpenStudy (anonymous):
what results is AC is the diameter of the circle... and triangle ABC is a 30-60-90 triangle |dw:1339633195726:dw|
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