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Seven pupils of Wrenbury Primary School's Extension Maths Club had the following solutions:
First you need to know how many centimetres in a metre ($100$).Ah, but how do we know that?
Well, Daniel suggests using good sense and logic to figure out that half the circumference is bigger than the diameter:
There is agreement with Daniel from Camilla, Phillippa, Hannah and Laura, all from The Mount School:
What we do know is that the shortest distance between two points is a straight line. So, the arc of the circle or curve of the circumference will make it longer than the straight line of the diameter.
Now, why is it that half of the circumference is greater than the diameter, or the diameter is less than half of the circumference?
... said Catherine wisely. She went on to give a wonderful mathematical explanation of her thinking:
Christine says:
Do you agree with her?
The answers above were supported by Jason and Matthew from Tattingstone School and Crewe, Errington, Porter, and Croft as well as Tom ("the Tornado"), who wrote how he "is enjoying this - I love maths". Good for you Tom!