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 Math problem

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Posted on 10-25-07 7:06 AM     Reply [Subscribe]
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Hi every one,

 

I have a question regarding my extra credit take home test, but I could not figure it out. I will be grateful if any one can solve this for me.

 

Thanx

 

Q. The radius of all four circles is 2 inches. Find the area of the region in between four circles.

 

Last edited: 25-Oct-07 07:10 AM

 
Posted on 10-25-07 8:40 AM     Reply [Subscribe]
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Are the circles touching each other?

If so, the answer would be 4 ( 4 inch^2 - pi)


 
Posted on 10-25-07 8:41 AM     Reply [Subscribe]
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touching meaning tangent ... not overlapping
 
Posted on 10-25-07 9:41 AM     Reply [Subscribe]
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see the attached image for the answer ...


 
Posted on 10-25-07 10:35 AM     Reply [Subscribe]
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Another problem: challenging than the first one but could be solved along similar lines.

The circle on the left has a radius of 1 unit and the bigger circle on the right has a radius of 2 unit. The two circles are tangent to each other and a straight line. A third circle, obviously with a smaller radius, is inserted between the other two so that it lies tangent to the two bigger circles and the line. What's the radius of the smallest cricle?

\begin{picture}(75,40)(-10,-2)
\put(0,0){\line(1,0){60}}
\put(10,10){\bigcircle{20}}
\put(38.3,20){\bigcircle{40}}
\put(21.6,3.4){\bigcircle{6.6}}
\end{picture}


 
Posted on 10-25-07 11:50 AM     Reply [Subscribe]
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Very interesting ...

Is it 0.343 unit ?

 

 


 
Posted on 10-25-07 12:14 PM     Reply [Subscribe]
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Posted on 10-25-07 12:53 PM     Reply [Subscribe]
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Posted on 10-25-07 2:47 PM     Reply [Subscribe]
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Dear Aalu Jasto:

Your answer is NOT CORRECT.

Please, be careful as value of Pi is '22 divided by 7' which is equal to approx 3.14.

Therefore, area of the square is 4inchesx4inches =16 sq inches.

Area of circle is 3.14x2inchesx2inches). However, WE WANT ONLY only ONE-FOURTH. Therefore, 1/4=3.14.

WE ARE INTERESTED IN the MIDDLE AREA, by subtracting the enclosed area of 1/4th circles.
which will be: 16-3.14 or approximately 12.86.

PLEASE NOTE: It will be wrong if you say "16 minus 3.4336".

Be careful guys & gals.


 
Posted on 10-25-07 2:55 PM     Reply [Subscribe]
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YUP KALKI KAPIL IS ABSOLUTELY RITE... I ALSO CAME UP WID THE SAME ANSWER... AND I DIDN'T EVEN LOOK AT WAT KALKI KAPIL WROTE IN THE BEGINING... ANYWAYS PLZ... BELIVE ME CAS I GOT 95 IN MATHS... LOL...
 
Posted on 10-25-07 3:15 PM     Reply [Subscribe]
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I think alu jasto is right coz we have to subtract the whole circle and not just one quarter.
 
Posted on 10-25-07 3:21 PM     Reply [Subscribe]
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NO WE ARENT SUBTRACTING JUST ONE QUARTER WE ARE SUBTRACTING BY A WHOLE CIRCLE AS 1/4*4=1 SO WE HAVE TO SUBTRACT THE SQUARE BY THE AREA OF ONE CIRCLE WHICH IS 12.56 SO WHEN U SUBTRACT THE AREA OF SQUARE WHICH IS 16 BY THE AREA OF THE CIRCLE WE GET THE ANSWER WHICH IS 3.44

 
Posted on 10-25-07 3:31 PM     Reply [Subscribe]
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Dear COWBOYS:

We are not against the SOLUTION of Alu Jasto, we are criticizing his ANSWER. Value of Pi=22/7=3.14 and not 3.4.


 
Posted on 10-25-07 3:32 PM     Reply [Subscribe]
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the area of 1 circle is 4*pi. The area of the square is 16. the answer is 16 - 12.56 = 3.44

 
Posted on 10-25-07 3:34 PM     Reply [Subscribe]
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I don't see him saying pi = 3.4 anywhere.

 
Posted on 10-25-07 3:35 PM     Reply [Subscribe]
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YES, COWBOYS AND ALU JASTO ARE RIGHT!!!!!!!!!!!!MAKURAMANCHE, YOU AND ME ARE WRONG.

OF COURSE,

QED. NEXT QUESTION PLEASE!!!!!!!!!


 
Posted on 10-25-07 3:35 PM     Reply [Subscribe]
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Kapil bro, I think you came up with the wrong answer.

 
Posted on 10-25-07 3:47 PM     Reply [Subscribe]
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Interesting guff :)


 
Posted on 10-25-07 3:49 PM     Reply [Subscribe]
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Dear COWBOYS & ALU JASTO, PLEASE ACCEPT MY APOLOGY.

BEST WISHES FOR A HAPPY & PROSPEROUS TIHAR!!!!!!

Bhul-chuk maanf, la, pheri bhent hola!!!


 
Posted on 10-25-07 3:50 PM     Reply [Subscribe]
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No apologies needed. Just pointing out the right answer to the fellow who has his homework due.

 



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