February 23, 2017

Homework Help: math

Posted by dan on Tuesday, January 11, 2011 at 3:10am.

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?

I have a diagram with me, but I don't think it is possible to upload it, so drawing it out would be a good option.

So, from what we can gather from the question, we know the shaded circle is 2 m in diameter. Many assume the the diameter of the largest circle that can fit into the rectangle would be 1 m. However, if pushed the circle in the corner, there is more space, thus the circle MUST be greater than 1m. How to work out exactly what the diameter is, I have no clue.

Anyone who can comprehend what I ranted about up there and explain how I could solve this question will be hailed the ultimate genius.


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