MathBrush

Footpath — circular tiles

The figure shows a rectangular grass patch and an L-shaped footpath. The width of the footpath is 100 cm. The footpath is tiled using 38 circular tiles of diameter 50 cm, following the pattern shown. Each tile is in contact with those next to it. (a) What is the area of the footpath not covered by the tiles? (Take pi = 3.14) (b) What is the perimeter of the grass patch?

Opening the drawing…

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