MathBrush

Bakery countertop — coasters around the display case

The figure shows a rectangular display case and an L-shaped countertop border around it in a bakery. The width of the border is 40 cm. The border is covered with 30 circular coasters of diameter 20 cm, following the pattern shown in the figure. Each coaster touches the ones next to it. What is the area of the border not covered by the coasters? (Take π = 3.14)

Opening the drawing…

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