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Suppose that you needed to make a pen for some small animals. You have 12 m of fencing. You decide to make a circular pen, because if you wish to enclose an area using a given length of fencing, then a circular fence encloses a larger area than a fence of any other shape. What is the radius r of the pen? Express your answer in meters to four significant figures.

Answer :

boffeemadrid

Answer:

1.909 m

Explanation:

Length of fence = 12 m

r = Radius of circle made by the provided fence

Cirumference of a circle is given by

[tex]C=2\pi r[/tex]

The circumference of the circle will be equal to the length of the fence

[tex]2\pi r=12[/tex]

[tex]\\\Rightarrow r=\dfrac{12}{2\pi}[/tex]

[tex]\\\Rightarrow r=1.909\ m[/tex]

The radius of the fence is 1.909 m

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