Question

Hello im doing some practice questions and need some help

Answer 1

`\text{ The gardener needs 103 bags of sand.}`

Explanation:

Find the area of the big circle including the path and the small circle, the flower garden. The area of a circle is represented by the following equation:

`Area=\pi *r^2`

Given that:

The radius of 17 yds for the flower garden

The radius of 22 yds including the path

For the flower garden of 17 yds;

`\begin{gathered} Area=\pi *17^2 \\ Area=907.46\text{ square yds} \end{gathered}`

For the complete circle including the path, 22 yds;

`\begin{gathered} Area=\pi *22^2 \\ Area=1519.7\text{ square yds} \end{gathered}`

Find the area for the ring path by subtracting the complete circle by the flower garden:

`\begin{gathered} Area_(ring)=1519.76-907.46 \\ Area_(ring)=612.3\text{ square yds} \end{gathered}`

If one bag of sand can cover 6 square yds, divide the ring's area by 6:

`\begin{gathered} (612.3)/(6)=102.05 \\ \text{ Rounding:} \\ \text{ The gardener needs 103 bags of sand.} \end{gathered}`