Posted by **dan** on Wednesday, January 12, 2011 at 4:39am.

I'm not sure whether this question is too difficult, or perhaps it is lacking a diagram, but I have been getting no response to this question, something I had not been not expecting.

To any maths experts out there, I would absolutely LOVE your help, because I just can't get my head around this one.

Here it is:

A shaded circle just fits inside a 2m x 3m rectangle. What is the radius in metres, of the largest circle that will also fit inside the rectangle but will not intersect the shaded circle?

If you believe a diagram would help, I could try and upload the diagram onto photobucket and give you the link.

Be my saviour!

Thanks!

- 11th grade specialist math -
**MathMate**, Wednesday, January 12, 2011 at 7:58am
First, the first circle that "just fits" inside the rectangle is tangent to only three sides, the two long sides and one short side. Call its radius R, and the centre A.

The second circle will be tangent to the opposite short side, one of the long sides and the first circle. Call the radius of the second circle r, and the centre B.

Join the centres of the two circles, AB, and drop perpendiculars parallel to the sides of the rectangle until they meet. Call this point C.

Thus we have a right triangle ABC, right-angled at C.

We have the following information:

R=(short side)/2=1

AB=R+r

AC=R-r

BC=sqrt(AB²-AC²)

By equating the length of the long side with the sum of R,BC and r, you can solve for r:

R+BC+r = long side = 3

Post if you need a diagram.

- 11th grade specialist math -
**dan**, Wednesday, January 12, 2011 at 11:19pm
Thanks for the reply.

I'm still stumbling over where point C is. "Drop perpendiculats parallel to the sides of the rectangle until they meet".

A diagram would most definately be helpful.

Once again, thank you for your help.

## Answer This Question

## Related Questions

- CHEM (DrBob222) - I had posted the question to that previous chem question, ...
- College Algebra - I am having a difficult time with this question. Any help ...
- Biology - I had to observe slides of onion root tip to study plant mitosis. And ...
- To Cyrus - re Health - Your question has been removed since it is a question ...
- language arts Ms. Sue please last question - 5. Identify the verb in the ...
- Drugs - I asked a question earllier related to whether my idea of an inhalant ...
- Biology - Please could someone help me been trying to make sense of a question ...
- AlgebrAlgebra-Mathmate or BobPursley or Reiny - I had asked a question earlier ...
- Math - I'm sorry it's been a while since I've been on Jishka. how are you guys? ...
- Geometry - If you go to Eden a math tuition you will have the diagram for this ...

More Related Questions