A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

a segment of a circle has a 120 degree arc and a chord of 8 to the square root of 3 inches. find the area of the segment.

  • This Question is Open
  1. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what does "8 to the square root of 3" mean?

  2. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[8^{(\sqrt 3)}\] ??

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[8\sqrt{3}\] this is what it looks like in the problem

  4. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thats: 8 square roots of 3 then, no "to" required

  5. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    terminology ... what is a segment?

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the part of a figure cut off by a line

  7. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so instead of a slice of pizza, its just the crust right?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes, basically

  9. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, i get those mixed up alot. so we want the area of the slice, minus the area of the triangle .. any ideas?

  10. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436478599531:dw|

  11. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do we know trig? or special triangles?

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no, we do not

  13. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well, without trig or some knowledge of special triangles, we really cant approach this.

  14. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the special triangle we would need to know about is a 30-60-90 degree

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so then how would we apply that to an equation?

  16. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if you have formulas at your disposal, then you might be able to use them .. but i do not know what you have available to you. hence my thought to use a 30-60-90 special triangle

  17. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436478952947:dw|

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    area of segment=area of sector-area of triangle

  19. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ideally we learn, that a 30-60-90 can be constructed from an equilateral triangle, where all the sides are the same length |dw:1436479033334:dw| using the pythagorean thrm, we find that the missing side is sqrt(3) giving us the special ratio of: |dw:1436479105655:dw|

  20. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    in your case, we can then use it to scale to the desired length |dw:1436479181984:dw|

  21. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but if you have no knowledge of this, then i dont see much of a way to approach a solution

  22. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436479458168:dw| we have 120/360 of the area of the circle (pi 8^2) and we have 2 triangles (a rectangle is 2 triangles) of base 4, and height 8sqrt(3)

  23. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    height of 4sqrt(3) THAT IS

  24. amistre64
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    as i mentioned, without some trig or knowledge of the special 30-60-90 triangle, i see no way to approach this problem ...

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay well thank you for trying

  26. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.