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| Math Central | Quandaries & Queries |
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Question from tammy, a parent: if your searching an area and you go 300 km from point A and search 380° what or how much area would you search? |
Hi Tammy,
The region searched is a circular disk with radius 300 km. The area of the region is $\pi\;r^2$ square kilometers where $r$ is the radius and $pi$ is approximately 3.1416. Thus for your search region the area is
\[\pi \; \times 300^2 = 282,743.3 \mbox{ square kilometers.}\]
If you want the area in square miles then Google can help. Just type 282,743.3 square kilometers in square miles into the Google search window.
Penny
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