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Thread: Need Help Please!!

  1. #1
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    Exclamation Need Help Please!!

    1: Write a formula in factored form for the are of the adjacent shaded region. http://dcs.unl.edu/ishs_course_image...oject3g004.gif

    2: Write a Formula in factored form for the are of the adjacent shaded region. http://dcs.unl.edu/ishs_course_image...oject3g005.gif
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  2. #2
    Senior Member DivideBy0's Avatar
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    Quote Originally Posted by omgitzbella View Post
    1: Write a formula in factored form for the are of the adjacent shaded region. http://dcs.unl.edu/ishs_course_image...oject3g004.gif

    2: Write a Formula in factored form for the are of the adjacent shaded region. http://dcs.unl.edu/ishs_course_image...oject3g005.gif
    For 1, the area of each of the hemispheres on the side is $\displaystyle \frac{1}{2}\pi r^2$. Therefore, the area of both of them combined is $\displaystyle \pi r^2$.
    To find the area of the shaded regions, subtract $\displaystyle \pi r^2$ from the area of the rectangle, which is $\displaystyle 8r \times 2r = 16r^2$.
    Shaded region = $\displaystyle 16r^2 - \pi r^2 = r^2(16-\pi)$.

    For 2, subtract the area of the smaller square from the area of the bigger.
    Shaded region = $\displaystyle (6a)^2 - (3b)^2 = 36a^2 - 9b^2 = 9(4a^2 - b^2)$.
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