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Mathematics 8 Online
OpenStudy (jamesreed30):

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long

OpenStudy (mathmate):

As in all geometry problems, a diagram is half the solution. |dw:1476282798173:dw| From properties of a 30-60-90 triangle, |dw:1476282959469:dw| R=9 (2/sqrt(3)) and Area=\(\pi R^2\).

OpenStudy (jamesreed30):

so I multiply those numbers?

OpenStudy (mathmate):

Show what you plan to do and we'll see.

OpenStudy (jamesreed30):

2x3 then 6x9?

OpenStudy (jamesreed30):

@mathmate

OpenStudy (mathmate):

Not quite. There is only one answer in the end (area of circle). You need to first calculate R by the proportions given. Then calculate the area of the circle using the equation for circle area.

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