Challenge Question

Challenge question #42 (16/01/2017)

Junior Question

Maths Image Suppose you are given the circle alongside.

Show how to construct a figure which has the same perimeter as the circle, and the same area as the square inscribed inside the circle.


Senior Question

Maths Image A factory, F, and a railway station, R, are seperated by a $250$ m wide river. A road and a bridge need to be constructed to transport products between the two places.

F is $4$ km north of R, F is $2$ km from the river, R is $1$ km from the river, and the bridge must cross the river at right-angles. Determine the shortest possible length of road and bridge required to join the factory to the railway station.


You can discuss this fortnight’s challenge questions on our Facebook wall or Twitter feed.

Solutions to last fortnight’s challenges

Older challenges