A pie is sliced into equal pieces each with a central angle of 60 degrees. Lexie ate one piece of pie. Lexie's slice was 8.73 inches squared. What is the area of the whole pie?

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hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45