<PRE><B>Question 538284</B>
Circumference of a circle (C) is {{{C=pi*d}}} where d is the diameter, or 2 times the radius.&lt;P&gt;
For this circle diameter is 2*9=18 and circumference is {{{C=18*pi}}}&lt;P&gt;
Arc length is in the same ratio to the circumference of the circle as the sector angle is to 360 degrees.&lt;P&gt;
In this case that means&lt;P&gt;
{{{30/360 = x/(18*pi)}}} where x is the arc length.&lt;P&gt;
Cross multiply.&lt;P&gt;
{{{360x=540*pi}}}&lt;P&gt;
Divide both sides by 360.&lt;P&gt;
{{{x=540*pi/360 = (3/2)*pi}}}&lt;P&gt;
That&#39;s the exact answer.  Depending on what is used for pi, there are different approximations.  Use 22/7.&lt;P&gt;
{{{x=(3/2)*(22/7) = 66/14 = 33/7=4.714}}}
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