Difference between revisions of "Baka to Tesuto to Syokanju:Volume10 The Fifth Question"

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(Created page with "==The Fifth Question== Please answer the following question: Please calculate the area of the shaded region. Use π as the circular constant. Himeji Mizuki answer: Assumin...")
 
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==The Fifth Question==
 
==The Fifth Question==
   
Please answer the following question:
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'''Please answer the following question:'''
   
 
Please calculate the area of the shaded region. Use π as the circular constant.
 
Please calculate the area of the shaded region. Use π as the circular constant.
   
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[[Image:BTS_pi.jpg|200px]]
Himeji Mizuki answer:
 
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'''Himeji Mizuki answer:'''
   
 
Assuming that the radius of the small circle is r, and the circumference as ℓ.
 
Assuming that the radius of the small circle is r, and the circumference as ℓ.
   
   
ℓ = 2 π r
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ℓ = 2πr
   
   
 
The question asks for the area between radius 1 and 3, so we’ll call it ‘S’.
 
The question asks for the area between radius 1 and 3, so we’ll call it ‘S’.
   
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[[Image: BTS Integrate.jpg|200px]]
S= <math> \int_1^3 2 π r \;dr </math>
 
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Therefore, the answer is 8π.
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'''Teacher's Comment:'''
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Well answered. This is a standard question for area.
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'''Yoshii Akihisa's Answer:'''
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Iπ<ref>Supposed to be pronounced as '''e'''π. Sounds like ippai, which means many</ref>
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'''Teacher's Comment:'''
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It's been a while since I felt my veins popping.
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'''Tsuchiya Kouta's Answer:'''
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Oπ <ref>Oπ sounds like oppai, which means breasts</ref>
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'''Teacher's Comment:'''
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Come over to the counselling room. I will like to hear your explanation.
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===Notes===
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<references/>
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{{BakaTest Nav|prev=Baka to Tesuto to Syokanju:Volume10 The Fourth Question|next=Baka to Tesuto to Syokanju:Volume10 The Sixth Question}}
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</noinclude>
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'''Teacher's Comment:'''

Revision as of 15:14, 3 November 2012

The Fifth Question

Please answer the following question:

Please calculate the area of the shaded region. Use π as the circular constant.

BTS pi.jpg

Himeji Mizuki answer:

Assuming that the radius of the small circle is r, and the circumference as ℓ.


ℓ = 2πr


The question asks for the area between radius 1 and 3, so we’ll call it ‘S’.

BTS Integrate.jpg

Therefore, the answer is 8π.

Teacher's Comment:

Well answered. This is a standard question for area.

Yoshii Akihisa's Answer:

[1]

Teacher's Comment:

It's been a while since I felt my veins popping.

Tsuchiya Kouta's Answer:

[2]

Teacher's Comment:

Come over to the counselling room. I will like to hear your explanation.

Notes

  1. Supposed to be pronounced as eπ. Sounds like ippai, which means many
  2. Oπ sounds like oppai, which means breasts