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KimJaFo

  • one year ago

Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles are each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter. Show your work. I need some hwlp with this, Ill try and post the picture in the comments

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  1. KimJaFo
    • one year ago
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  2. KimJaFo
    • one year ago
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    @jagr2713 Could you help?

  3. anonymous
    • one year ago
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    so we have 11 segments of 1.25 m each a semicircle with a diameter of 15 m and a semicircle with diameter (15 - 1.25 - 1.25) m|dw:1438747266213:dw|

  4. anonymous
    • one year ago
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    let's just add up the lengths. The circumference of a circles is πd, so for a semicircle it's \[C=\frac{ \pi d }{ 2 }\]

  5. anonymous
    • one year ago
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    Find the circumference for the 15 m semicircle using that formula

  6. KimJaFo
    • one year ago
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    Thanks!

  7. KimJaFo
    • one year ago
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    So, the formula, once I plug in everything, would be C = pi15/2?

  8. anonymous
    • one year ago
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    yes, but we write 15pi/2. Then do the same with the smaller semicircle

  9. KimJaFo
    • one year ago
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    What do you mean? I'm kinda getting a lil confused. Sorry '-'

  10. anonymous
    • one year ago
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    they're asking for the total length of all the lines/curves in the picture. 15π/2 is just the top semicircle. We also have to account for the bottom semicircle and all 11 line segments between them.

  11. anonymous
    • one year ago
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    Does that make sense?

  12. KimJaFo
    • one year ago
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    A little bit, let me try it.

  13. anonymous
    • one year ago
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    to find the diameter of the smaller circle, subtract the 1.25 m on each end from the diameter of the larger. d = 15 - 2(1.25) = 12.5 m So use 12.5 in the circumference formula to get the length of this part

  14. KimJaFo
    • one year ago
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    how?

  15. anonymous
    • one year ago
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    C = πd/2 where d = 12.5

  16. KimJaFo
    • one year ago
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    Ah ok, thank you

  17. anonymous
    • one year ago
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    |dw:1438748775575:dw|

  18. anonymous
    • one year ago
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    The last thing you have to find is the length of the segments. There are 11 and the are each 1.25 m. What's the total length?

  19. KimJaFo
    • one year ago
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    I think I got it, thank you

  20. anonymous
    • one year ago
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    you're welcome

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