Mathematics: 2. each of the circles below has an rea of 196pi square units. find the perimeter of the rectangle.

Ur answer is probably 6?5idk...

2. each of the circles below has an rea of 196pi

Ответ:

reycaden

01.01.2022

so hmmm if you look at the picture below

the lenght of the rectangle, is really just 4 radius worth, or 2 diameters for that matter, and the width of the rectangle is 1 diameter worth, or 2 radius, so the perimeter of the rectangle containing the circles is really just 2r + 2r + 4r + 4r, or just 12r.

we know the area of each circle is 196π, thus

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=196\pi \end{cases}\implies 196\pi =\pi r^2\implies \cfrac{196\pi }{\pi }=r^2 \\\\\\ 196=r^2\implies \sqrt{196}=r\implies 14=r \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{perimeter of the rectangle}}{12r\implies 12(14)\implies 168}~\hfill$

2. each of the circles below has an rea of 196pi square units. find the perimeter of the rectangle.

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2. each of the circles below has an rea of 196pi square units. find the perimeter of the rectangle.

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