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The area of circular pond is 75.46m2, find its radius and circumference. explain it​

Answer»

\qquad \huge{\underline{\underline{\boxed{\sf{\purple{❥︎sᴏʟᴜᴛɪᴏɴ ࿐}}}}}}

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\large \: \fcolorbox{grey}{black}{\bf \: \: \: \: \: \: \: \: \: \: <klux>AREA</klux> OF CIRCLE \: \: \: \: \: \: \: \: }

\qquad \qquad \boxed{\displaystyle\sf Area \: of \: circle= \pi r^{2}}

\large \: \fcolorbox{grey}{black}{\bf \: \: \: \: \: \: \: \: \: \: CIRCUMFERENCE \: \: \: \: \: \: \: \: }

\qquad \qquad \boxed{\displaystyle\sf Circumference = 2πr}

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\qquad \qquad \qquad \large \: \fcolorbox{grey}{black}{\bf GIVEN }

⇏ π = 3.14 or 22/7

⇏ Area = πr² = 75.46m2

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\qquad \qquad \qquad \large \: \fcolorbox{grey}{black}{\bf TO FIND: }

\red{ \longmapsto\:} RADIUS

\red{ \longmapsto\:} Circumference

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\qquad \large \: \fcolorbox{grey}{black}{\bf RADIUS OF CIRCLE }

\begin{gathered}\displaystyle\sf :\implies \pi r^{2} = 75.46m²\end{gathered}

\begin{gathered}\displaystyle\sf :\implies r^{2} = \frac{75.46m²}{\pi} \end{gathered}

\red{ \longmapsto\:} TAKING π as 3.14,

\begin{gathered}\displaystyle\sf :\implies r^{2} = \frac{75.46m²}{3.14} \end{gathered}

\begin{gathered}\displaystyle\sf :\implies r^{2} = 24.0318471337.. \end{gathered}

\begin{gathered}\displaystyle\sf :\implies r = \sqrt{24.0318471337..} \end{gathered}

\begin{gathered}\displaystyle\sf :\implies r = 4.9 \end{gathered}

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\qquad \large \: \fcolorbox{grey}{black}{\bf CIRCUMFERENCE }

\begin{gathered}\displaystyle\sf :\implies 2\pi r = 2 \times 3.14 \times 4.9\end{gathered}

\begin{gathered}\displaystyle\sf :\implies 2 \times 3.14 \times 4.9 = 30.772\end{gathered}

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