Mathematics

Math is not making simple things complicated but making complicated things simple

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

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Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Yeah , exactly ! I don't understand why there are people out there who can't understand this simple fact .

A Former Brilliant Member - 6 years, 2 months ago

hi there. are you good at solid mensuration?

hazel desuyo - 6 years, 2 months ago

You mean something on the lines of 3D geometry ?

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – yes, cause i really find it hard especially the formula for the circular sector and segment

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – I am not that Good in Math. . .

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – No problem ! Maths is an easy subject which can be learned by any person by themselves :) Just keep working on it .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – Thank you. are you living in India?

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – I hope I can Be as smart as you.

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – I'm not smart -_-

There are many smarter people out here on B'ant . The list is endless !

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – Come on I know you are. . .

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – hey

hazel desuyo - 5 years, 4 months ago

@A Former Brilliant Member – hi. what math book will help me to understand more about math?

hazel desuyo - 5 years, 4 months ago

@Hazel Desuyo – Yeah. I am an Indian .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – Cool.:)Are you already in college?

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – Not yet .I am going to write the entrance exams in a few days . The first of which is on the 4th of April .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – You can Do it!!. . . what course are you going to take?

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – It'll be great if I could get to study Computer Science .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – yeah. wish you luck. thank you for helping me. I think it's time to wave goodbye. thank you for your time.

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – Thank you for being kind. I'll pray for you to pass the examination.

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – Thanks $\ddot\smile$

A Former Brilliant Member - 6 years, 2 months ago

@Hazel Desuyo – Can you please elaborate a bit ? I didn't get what you meant !

Did you mean the following formula ?

$\text{Area of sector} = \dfrac{\theta}{2\pi} \pi r^{2}$

And likewise the formula for segment can be got by subtracting it from the triangle formed by the chord with the radii .

I am confused by your comment since a segment is a segment in both 2D as well as 3D .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – I am sorry for Confusing you. . I am looking for the formula for the Circular segment.

hazel desuyo - 6 years, 2 months ago

@Hazel Desuyo – Do you want the formula for calculating the area of a circular segment ?

A Former Brilliant Member - 6 years, 2 months ago

@Hazel Desuyo –

To get the area of the minor segment AB , you'll first calculate the area of the sector AOB using the formula that i had provided earlier . Now subtract the area of the triangle from the area of the sector to get the area of the segment .

If you want to get the area of the major segment , then you'll have to subtract that area from the area of the circle .

A Former Brilliant Member - 6 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$