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anonymous

  • 5 years ago

Nina designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric semicircles are each 3 ft long. Find the total length of wrought iron used to make this structure. Round your answer to the nearest foot.

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  1. anonymous
    • 5 years ago
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    |dw:1327254778747:dw|

  2. amistre64
    • 5 years ago
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    well, arc length = angle * radius; angle seems to be pi and radius is 10 on one and 13 on the other

  3. amistre64
    • 5 years ago
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    then count the segments and times it by 3

  4. amistre64
    • 5 years ago
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    10pi + 13pi + 3(11) seems about right

  5. anonymous
    • 5 years ago
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    how did you get the 13?

  6. amistre64
    • 5 years ago
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    10 + 3 feet more for the space between them

  7. amistre64
    • 5 years ago
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    |dw:1327255016852:dw|

  8. anonymous
    • 5 years ago
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    but why do you need both 13 pi and 10pi?

  9. amistre64
    • 5 years ago
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    you have 2 arches; one is an inner arch with a radius of 10; the other is an exterior arch with a radius of 13 and you got all these little 3 ft sections to keep them apart

  10. amistre64
    • 5 years ago
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    the total amount of material has to be the inclusion of the total length

  11. anonymous
    • 5 years ago
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    oh ok i get it know thank you!

  12. amistre64
    • 5 years ago
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    youre welcome :)

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