Area of major segment question (1 Viewer)

[BlueGas]

I'm doing question 13. a) and I'm wondering if my answer is correct. If it isn't, please correct me, this is literally the first major segment question I done so take it easy on me.

 

[braintic]

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.

 

[BlueGas]

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.

What's the difference between major segment and sector?

 

[BlueGas]

Did I even draw the circle correctly?

 

[InteGrand]

What's the difference between major segment and sector?

Segment is the area bounded by the circumference and a chord.

Sector is the area you shaded.

 

[BlueGas]

Segment is the area bounded by the circumference and a chord.

Sector is the area you shaded.

So I drew the circle incorrectly?

 

[InteGrand]

So I drew the circle incorrectly?

You shaded in the wrong area for the label 'major [segment]'. You should have also included that triangle.

 

[BlueGas]

You shaded in the wrong area for the label 'major [segment]'. You should have also included that triangle.

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?

 

[InteGrand]

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?

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

 

[BlueGas]

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

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?

 

[BlueGas]

So what's the answer for this question? I want to make sure if I got the correct answer.

 

[braintic]

So what's the answer for this question? I want to make sure if I got the correct answer.

As I said, ½r²(θ-sinθ) where θ=7π/6. I'll let you work it out.

 

[BlueGas]

As I said, ½r²(θ-sinθ) where θ=7π/6. I'll let you work it out.

Don't you mean 5Pi/6?

 

[InteGrand]

Don't you mean 5Pi/6?

 

[BlueGas]

So how did braintic know that you sub in 7Pi/6? How do you work that out?

 

[InteGrand]

So how did braintic know that you sub in 7Pi/6? How do you work that out?

 

[BlueGas]

Sorry if I'm asking too many questions but why 2Pi? Can you please explain this?

 

[InteGrand]

Sorry if I'm asking too many questions but why 2Pi? Can you please explain this?

 

[BlueGas]

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!