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Find the area of the surface of a circular pound that has a diameter of 12 metre

2 Answers

5 votes

answer = 113.1m²

Using the formulas

  • A=πr2
  • d=2r

Solving forA

  • A=1
  • 4πd2=1

4·π·122≈113.09734m²

__________________________________

this is your answer

User Slaven Rezic
by
7.8k points
2 votes


\Large \underline{\tt Given} :

  • Diameter of circular pound = 12 m


\\


\Large \underline{\tt To \: Find} :

  • Area of circular pound = ?


\\


\Large \underline{\tt Solution} :

As, pound in circular in shape, so to find it's area we have a formula :


\underline{\boxed{\bf{Area_((circle)) = \pi r^2}}}


\\

Now, we have diameter of circular pound, D = 12 m.

So, Radius of circular pound, r =
\tt (D)/(2)

⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀=
\tt \cancel{(12 \: m)/(2)}

⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀=
\tt 6 \: m


\\

Now, by substituting value of π = 22/7 and r = 6 m, we have area of circle :


\tt : \implies Area = (22)/(7) * (6 \: m)^(2)


\tt : \implies Area = (22)/(7) * 36 \: m^(2)


\tt : \implies Area = (792)/(7) \: m^(2)


\tt : \implies Area = 113.14 \: m^(2) \: (approx.)

Hence, Area of the surface of circular pound is approximately 113.14 m².

User Terek
by
8.4k points

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