3 years ago

The least common multiple is the blank multiple, other than 0, common to sets of multiples.

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

It would be it is the smallest multiple

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Please read the following picture below and use 3.142 instead of <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title

Marina86 [1]

Check the picture below.

now, let's notice the larger "yellow" semicircle, it has a gap, the gap on the right is of a semicircle with a diameter of 10, BUT it also has a descender on the left, a part that's hanging out, that part is also a semicircle.

so if we use the descending semicircle to fill up the gap on the right, we'll end up with a filled up larger semicircle, whose diameter is 20, and whose radius is 10 cm.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=10 \end{cases}\implies A=\pi 10^2\implies A=100\pi \\\\\\ \stackrel{\textit{half of that for a semicircle}}{A=\cfrac{100\pi }{2}}\implies A=50\pi \implies \stackrel{\pi =3.142}{A=157.1}$