Question 1133723
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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>
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>
The region whose area you are to find is the equilateral triangle plus those three pieces:<br>
Area = (area of equilateral triangle) + 3*(1/6 the area of a circle minus the area of the equilateral triangle)<br>
Use what you know about areas of circles and equilateral triangles to find the answer.