Question

The circumference of a circular field is 232.36 meters. What is the diameter of the field? Use 3.14 for n and do not round your answer.

Answer 1

Given:-

• Circumference of a circular field = 232.36cm

To Find:-

• Diameter of the field

Formula Used:-

• ${\boxed{\bf{Circumference\:of\:Circle=2\pi r}}}$

• ${\boxed{\bf{Diameter=2\times r}}}$

Solution:-

Firstly,

$\sf :\implies\:Circumference=2\pi r$

$\sf :\implies\:232.36=2\times 3.14 r$

$\sf :\implies\:r=\dfrac{232.36}{6.28}$

$\sf :\implies\:r=\dfrac{23236}{628}$

$\bf :\implies\:r=37\:cm$

Now,

$\sf :\implies\:Diameter=2\times r$

$\sf :\implies\:Diameter=2\times 37$

$\bf :\implies\:Diameter=74\:cm$

Hence The Diameter of the circular field is 74cm.

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