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27 December, 09:34

Your car's back window is in the shape of a trapezoid with the dimensions shown. The 1616-inch window wiper cleans a part of the window in a semicircular pattern. What is the approximate area of the window that is NOT cleaned by the wiper?

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  1. 27 December, 10:21
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    Semicircle area = circle area / 2 = (pi*r^2) / 2 16 in is the radius. Let's call the area of this semicircle s. 3.14*16^2=s

    Trapezoid area = ((base 1 + base 2) / 2) * h Here, base 1 is 44 and base 2 is 36. The height (h) is 20. Let's call this trapezoid's area t. (44+36) / 2 * 20 = t

    We can remove the area of the semicircle (that created by the windshield wiper) by subtracting it from the area of the trapezoid. t - s = uncleaned area [ (44+36) / 2 * 20] - [3.14 * 16^2] = uncleaned area
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