A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

find the area of the segment of a circle. radius 6 cm and angle 120 degrees

  • This Question is Closed
  1. campbell_st
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well its 2 problems... in 1 |dw:1328677721761:dw| find the area of the triangle with sides 6cm and angle 120 A = 1/2 absinC find the area of the sector... A = 120/360 x pi x 6^2 the segment will be Area of sector - Area of Triangle

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Pi(r)^2 would be the full circle. Then divide that by 3 to get 1/3 of it or 120 degrees. pi(6)^2=113.097 -> /3=37.69 campbel are you sure you want to use a triangle? maybe I dont understand the question but this is my thought...

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

    you can also note that 120 degrees is one third of a the circle, therefore it will be 1/3 the area of the entire circle A = pi*r^2 = pi*6^2 = 36 pi since it's A/3 then. A/3=36pi/3=12pi

  4. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what if you are only supposed to use geometry? this is for a geometry class. they have not used sin yet

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    both ways work just fine

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

    geometry method is described by me and loophole

  7. campbell_st
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then you can't find the area of a segment without using the sector - triangle

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

    how do you find the area of a triangle without knowing base or height?

  9. campbell_st
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    loophole and matt... are only finding the area of a sector... and not a segment...

  10. campbell_st
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    use trigonometry... A = 1/2 x 6 x 6 x sin(120)

  11. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a sector is just a divided circle.

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

    campbell's right. wasn't thinking. if it IS the segment they ask for, then yes you have to subtract the area of the the triangle

  13. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh, okay you're right a segment is different.

  14. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yest that is what I am asking

  15. 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.