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aliceohern
19.05.2020 •
Mathematics
Find EXACT area of regular hexagon (keep in radical form)
Find area of octagon
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Ответ:
1.
2. ![162\sqrt{2}](/tpl/images/0654/6511/a38b5.png)
Step-by-step explanation:
1. The area of a hexagon is A =![\frac{3\sqrt{3} }{2} a^{2}](/tpl/images/0654/6511/49b92.png)
Here our a is 4, so plugging in 4 to our equation gives
which simplifies to ![24\sqrt{3}](/tpl/images/0654/6511/a721a.png)
2. The area of an octagon is![2\sqrt{2} r^{2}](/tpl/images/0654/6511/e7de9.png)
Here our r is 9, so plugging in 9 to our equation gives
which simplifies to ![162\sqrt{2}](/tpl/images/0654/6511/a38b5.png)
Ответ: