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.

 

Are the circles touching each other?

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

touching meaning tangent ... not overlapping

see the attached image for the answer ...

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?

Very interesting ...

Is it 0.343 unit ?

 

 

You got it!

Tanks!

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.

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...

I think alu jasto is right coz we have to subtract the whole circle and not just one quarter.

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

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.

the area of 1 circle is 4*pi. The area of the square is 16. the answer is 16 - 12.56 = 3.44

I don't see him saying pi = 3.4 anywhere.

YES, COWBOYS AND ALU JASTO ARE RIGHT!!!!!!!!!!!!MAKURAMANCHE, YOU AND ME ARE WRONG.

OF COURSE,

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

Kapil bro, I think you came up with the wrong answer.

Interesting guff :)

Dear COWBOYS & ALU JASTO, PLEASE ACCEPT MY APOLOGY.

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

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

No apologies needed. Just pointing out the right answer to the fellow who has his homework due.