Problem 2308. rectangle in circle
In the figure below, the rectangle at the corner measures a cm x b cm. What is the radius of the circle in cm?

Solution Stats
Problem Comments
-
4 Comments
Show
1 older comment
Jan Orwat
on 9 May 2014
e.g. a=2, b=9, r=17; a=1, b=8, r=13; a=18, b=25, r=73; etc.
Georges
on 11 Sep 2014
good one :)
Rafael S.T. Vieira
on 27 Jun 2020
The circle is inscribed in a square. And the rectangle touching the square corner intersects the circle at one vertex precisely. (This needs to be said: we can't trust our eyes.)
Solution Comments
Show commentsProblem Recent Solvers70
Suggested Problems
-
Make the vector [1 2 3 4 5 6 7 8 9 10]
50237 Solvers
-
Given a window, how many subsets of a vector sum positive
857 Solvers
-
Create a matrix X, where each column is a shifted copy of the vector v
205 Solvers
-
587 Solvers
-
Check that number is whole number
4569 Solvers
More from this Author12
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!