Problem

Area of a Solar Cell A solar cell converts the energy of sunlight directly...

Area of a Solar Cell A solar cell converts the energy of sunlight directly into electrical energy. The amount of energy a cell produces depends on its area. Suppose a solar cell is hexagonal, as shown in the figure on the left below. Express its area in terms of sin θ and any side x. (Hint: Consider one of the six equilateral triangles from the hexagon. See the figure on the right below.) (Source: Kastner, B., Space Mathematics, NASA.)

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