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Arada [10]
3 years ago
10

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

the rotation?
Mathematics
2 answers:
AleksAgata [21]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Anuta_ua [19.1K]3 years ago
4 0
This regular polygon, having eight sides and 45º angle in similar parts, when rotating 360º, will find a similar image and a similar angle of 45º, therefore dividing the angle of 360º by 45º will be the Number of coincidences<span> in image.

</span><span>Solving, thus, we have:
</span>\frac{360}{45} = \boxed{\boxed{8\:coincidences\:in\:image}}\end{array}}\qquad\quad\checkmark<span>



</span>
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Illustrate the given problem. Refer to the diagram attached to aid our solution.

Area of bigger rectangle:
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From the second equation, we can express L in terms of W.
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Replace this to the first equation:
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Derive A with respect to W and equate to zero (calculus):
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Thus, the smallest area would be:
A = (13.93 cm)(27.86 cm)
<em>A = 388.09 cm²</em>

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