Math CentralQuandaries & Queries


Question from Daniela, a student:

four circles are drawn in a square such that the circles are tangent to each other as shown. find the area of the shaded region. It the goes on to show a diagram with a square and four circles drawn in it. The length of a side of the square is 24. Please help me!

Hi Daniela,

Is this the diagram?


What is the area of the square?

What is the radius r of the circles?

What is the area of a circle r?

What is the area remaining when you remove 4 circles of radius r from the square?


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