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If the degree measure of an arc of a circle is increased by 20%  and the radius of the circle is increased by 25%, by what percent does the length of the arc increase?

 Dec 28, 2018
 #1
avatar+15350 
+3

Let x = degree of arc

 

x/360  *  pi * d  = arc length

                            Now increase x  by 1.2   and  d by 1.25     (20% and 25% respectivley)

 

x/360 (1.2) * pi * d 1.25 = 1.5 arc length        The arc length increases 50%      

 Dec 28, 2018

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