10. Find the length of the arc on a circle of radius r intercepted by a central angle 0. r=20 cm, e 1/4 radian

Mathematics · High School · Tue Nov 03 2020

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Given: 

radius = 20 cm

angle = ¼  radians

Formula for the arc length of a circle: 

 s = 2 π r (θ/360°)  or  s = r θ

Since the given is in radians, then the formula: s = r θ will be used

Solution:

s = (¼)(20cm)

s = 5 cm

The arc length of the circle is 5 cm.