Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jollysailorbold Group Title

An equilateral triangle is inscribed in a circle with a radius of 6". Find the area of the segment cut off by one side of the triangle.

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. jollysailorbold Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1335260036825:dw| it has to be plugged into that.

    • 2 years ago
  2. Rohangrr Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    Hope you can follow my explanation. The inscribed triangle can be cut into 6 equal triangles. One side each of these triangles (the hypotenuse) is equal to the length of the radius. Each triangle is a rt. triangle. Each triangle is a 30 - 60 - 90 triangle. r = 6 So, the sides of the triangle are: Remember for a 30-60-90 triangle: 1 - 2 (hypotenuse) - √3 3 - 6 - 3√3 Area of one triangle: A = (1/2)bh b = 3 h = 3√3 A = (1/2)(3)(3√3) = 9√3/2 6A = 6(9√3/2) = 27√3 Area of circle: A = pi 6^2 A = 36pi Area of segment (there are 3): A = (area of circle - area of triangle)/3 A = (36pi - 27√3)/3 = 12pi - 9√3 = 22.1

    • 2 years ago
  3. jollysailorbold Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you thank you thank you!

    • 2 years ago
    • Attachments:

See more questions >>>

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.