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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 35%, by what percent does the length of the arc increase?

 Apr 20, 2021
 #1
avatar+31353 
+1

62 %   increase

 Apr 20, 2021
 #2
avatar+118505 
+1

Let  the original radius =  r

Let  the  degree  measure  of  the arc  = θ

 

arc length  =  r * θ

 

New  arc length =  (1.20)r  * (  1.35 θ)  =  1.62 r θ     =   62%  increase   (as  EP  found)

 

cool cool cool

 Apr 20, 2021

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