What's the difference between major segment and sector?You've found the area of the major SECTOR.
The formula for the area of a segment A=½r²(θ-sinθ) also works for major segments. Just sub in 7π/6.
Segment is the area bounded by the circumference and a chord.What's the difference between major segment and sector?
So I drew the circle incorrectly?Segment is the area bounded by the circumference and a chord.
Sector is the area you shaded.
You shaded in the wrong area for the label 'major [segment]'. You should have also included that triangle.So I drew the circle incorrectly?
Which area was meant to be shaded for the major segment? Also how is the triangle included? Didn't you say a segment is bounded by circle and chord?You shaded in the wrong area for the label 'major [segment]'. You should have also included that triangle.
Yes, it's bounded by a circle and a chord, so it includes that area of the triangle (otherwise, it's bounded by the circle and the radii).Which area was meant to be shaded for the major segment? Also how is the triangle included? Didn't you say a segment is bounded by circle and chord?
Ohhhhh so the triangle is also meant to be shaded? So basically the triangle and and major sector that I already shaded make up a major segment?Yes, it's bounded by a circle and a chord, so it includes that area of the triangle (otherwise, it's bounded by the circle and the radii).
Check the image here to see what is meant by major and minor segments:
http://www.mathcaptain.com/geometry/circular-segmentation.html
As I said, ½r²(θ-sinθ) where θ=7π/6. I'll let you work it out.So what's the answer for this question? I want to make sure if I got the correct answer.
Don't you mean 5Pi/6?As I said, ½r²(θ-sinθ) where θ=7π/6. I'll let you work it out.
Don't you mean 5Pi/6?
So how did braintic know that you sub in 7Pi/6? How do you work that out?
So how did braintic know that you sub in 7Pi/6? How do you work that out?
Sorry if I'm asking too many questions but why 2Pi? Can you please explain this?
Sorry if I'm asking too many questions but why 2Pi? Can you please explain this?
Yeah thanks alot man! I didn't see this post in the morning because I was on my way to school. But I was looking at this question, I kept thinking to myself what could 2Pi mean? At the same time, our class was converting radians to degrees, I straight away looked to my friend and told him doesn't 2Pi mean 360 degrees? He told me yes and I automatically knew that you do 2Pi minus 5Pi/6 because you want to find the angle the major segment subtends at. Thanks alot for your help, you have been really helpful!