perplexus.info :: Geometry : Largest circle in quadrilateral

Largest circle in quadrilateral (Posted on 2021-09-17)

Given a quadrilateral with side lengths 2, 4, 5, and 6 units, what is the radius of the largest circle which can be drawn completely inside of it?

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

does the order of sides matter?

| Comment 4 of 8 |

If we permute the sides, we could have one of three different shapes:

2 4 5 6 (original)

4 2 5 6 (Brian's)

4 5 2 6 (a third)

Does it matter which we choose? Are there now 3 problems?

Posted by Steven Lord on 2021-09-19 15:12:14

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info