document.write( "Question 1010583: I need to find the exact area of a shaded region of a circle. The picture looks like there's a triangle in the middle of it and the sides of this triangle are 24m long... I just really need the way to find the shaded area of a circle... Thank you in advance! \n" ); document.write( "

Algebra.Com's Answer #626072 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Maybe you hope to describe an equilateral triangle inscribed in a circle, and the side of the triangle is 24 meters.\r
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\n" ); document.write( "\n" ); document.write( "Distance from center to any vertex where the circle and triangle meet is a radius. To be more brief in the discussion of the description, The equilateral triangle so inscribed is made of SIX special 30-60-90 triangles. Each has a leg $\"24%2F2=12\"$ , a hypotenuse r, and another leg $\"r%2F2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Find the radius.
\n" ); document.write( " $\"%28r%2F2%29%5E2%2B12%5E2=r%5E2\"$
\n" ); document.write( "Cutting past the algebra, $\"highlight%28r=8sqrt%283%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "You did not indicate what is and what is not shaded to find its area quantity. The area of the TRIANGLE will be $\"6%281%2F2%29%28base%29%28height%29\"$ , refering to the individual special right triangles...
\n" ); document.write( "The whole equilateral triangle area is $\"6%28%281%2F2%29%2812%29%281%2F2%298sqrt%283%29%29\"$ , the expression just enough for you to understand, ... and you can compute to finish. \n" ); document.write( "

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