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# Central Distance

The diagram shows two circles enclosed in a rectangle measuring 9cm by 5 cm.

What is the distance between the centres of the circles?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

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- Problem
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The diagram shows two circles enclosed in a rectangle measuring 9cm by 5 cm.

What is the distance between the centres of the circles?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Can you work out the area of the inner square and give an explanation of how you did it?

Two circles are enclosed by a rectangle 12 units by x units. The distance between the centres of the two circles is x/3 units. How big is x?