Pre-Calculus

A rectangular window is topped with a semicircle. The height of the rectangular part is 1 more than 3 times its width, w meters. Which function represents the total area, A, of the window in terms of the width?

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  1. width = w
    height of rectangle = (3w+1)

    area of rectangle = 3 w^2 + w

    area of semicircle = (pi/2) r^2 =(pi/2)w^2/4
    = pi w^2/8

    total A = (3 + pi/8)w^2 + w

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