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myininaya

  • 5 years ago

A rectangular field x units long is capped by a semicircle of radius r at the two ends. The field is to be bounded by a 400-m racetrack. Express the area of the rectangle as a function of r. I have gotten to x=(-1600@4*sqrt(160000+8r^2))/(16). Do you think I'm headed in the right direction?

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  1. myininaya
    • 5 years ago
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    @ means plus or minus by the way

  2. myininaya
    • 5 years ago
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    so I started out with the area of the rectangle =x(r^2-x^2) and the perimeter is 400=2x+2sqrt(r^2-x^2)

  3. myininaya
    • 5 years ago
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    I once I go to my area formula since I found x I can write Area has a function of r

  4. myininaya
    • 5 years ago
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    I'm assuming cap means the rectangle is enclosed in the semicircle correct?

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