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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?

Lightning Dec 28, 2018

#1**+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%

ElectricPavlov Dec 28, 2018