Author's Opinion

The views in this column are those of the author and do not necessarily reflect the views of iTWire.

Have your say and comment below.

Wednesday, 09 May 2012 13:22

A puzzle for the mathematically minded


I'd like to start a series of puzzles for our readers. Some will require cunning and insight, others sheer brain power. The first one (below) is definitely in the latter category.

I'll give you the "cute scenario" first, then rephrase as a more strict mathematical puzzle later on.

Imagine a perfectly circular paddock in which a grazing animal is tied to the edge. The question is simple - how long should the rope be such that the animal can eat exactly half of the grass in the paddock.

For the more mathematically minded, define a circle or radius r1. What is the radius of a second circle r2, the centre of which is positioned on the circumference of the first circle and the area of intersection of the two circles is exactly half the total area of the first circle (diagram below).

By preference, the value of r2 should be expressed as a proportion of r1. Even greater kudos for whoever can express the result in terms of circle-friendly operators (for instance, something like, r2 = 4/3 π r1 [hint - this is NOT even remotely the correct answer, merely a descriptor of the framework of the preferred answer]).

Answers in the comments please.



26-27 February 2020 | Hilton Brisbane

Connecting the region’s leading data analytics professionals to drive and inspire your future strategy

Leading the data analytics division has never been easy, but now the challenge is on to remain ahead of the competition and reap the massive rewards as a strategic executive.

Do you want to leverage data governance as an enabler?Are you working at driving AI/ML implementation?

Want to stay abreast of data privacy and AI ethics requirements? Are you working hard to push predictive analytics to the limits?

With so much to keep on top of in such a rapidly changing technology space, collaboration is key to success. You don't need to struggle alone, network and share your struggles as well as your tips for success at CDAO Brisbane.

Discover how your peers have tackled the very same issues you face daily. Network with over 140 of your peers and hear from the leading professionals in your industry. Leverage this community of data and analytics enthusiasts to advance your strategy to the next level.

Download the Agenda to find out more


David Heath

David Heath has had a long and varied career in the IT industry having worked as a Pre-sales Network Engineer (remember Novell NetWare?), General Manager of IT&T for the TV Shopping Network, as a Technical manager in the Biometrics industry, and as a Technical Trainer and Instructional Designer in the industrial control sector. In all aspects, security has been a driving focus. Throughout his career, David has sought to inform and educate people and has done that through his writings and in more formal educational environments.



Recent Comments