Question

A flower garden is shaped like a circle. Its diameter is 40yd. A ring-shaped path goes around the garden. The width of the path is 6yd. 6yd40yd The gardener is going to cover the path with sand. If one bag of sand can cover 7yd2, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. If necessary, ref

Answer 1

Number of sand bags needed = 124

Explanation:

Diameter of garden = 40 yd

Width of path = 6 yd

Diameter of garden with path = 40 + 2 x 6 = 52 yd

We need to find area of path.

Area of path = Area of garden with path - area of garden

`\texttt{Area of path = }(\pi * 52^2)/(4)-(\pi * 40^2)/(4)\\\\\texttt{Area of path = }867.08yd^2`

Area covered by one sand bag = 7 yd²

`\texttt{Number of sand bags required = }\frac{\texttt{Area of path}}{\texttt{Area covered by one sand bag}}\\\\\texttt{Number of sand bags required = }(867.08)/(7)=123.86\approx 124`

Number of sand bags needed = 124