document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133723>Question 1133723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three circles of radius two cm overlap so that each passes through the Center of the other two.        (Basically a triple Venn diagram.) What is the area of the region that would be in the middle, in cm^2? </SPAN>\n" );
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document.write( "Draw a sketch of the three intersecting circles, then inscribe an equilateral triangle in the region whose area you are to find, using as vertices the intersection points of the circles.<br><BR>\n" );
document.write( "The area of each of the three regions in the intersection of the three circles but outside the equilateral triangle can be viewed as the difference between one-sixth of the area of a circle (because the angles of the triangle are each 60 degrees) and the area of the equilateral triangle.<br><BR>\n" );
document.write( "The region whose area you are to find is the equilateral triangle plus those three pieces:<br><BR>\n" );
document.write( "Area = (area of equilateral triangle) + 3*(1/6 the area of a circle minus the area of the equilateral triangle)<br><BR>\n" );
document.write( "Use what you know about areas of circles and equilateral triangles to find the answer. </SPAN>\n" );
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