Hello, I just have one question.

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 2(3.14)/3 radians. What is the arc length?

Guest Mar 16, 2017

#1**+5 **

Entire circle circumference = pi x d = pi x (6 x2) = 12 pi

the central angle's arc will be a fraction of this (2pi R is 360 degrees)

2pi/3 / 2pi x 12 pi = (2pi x 12 pi) / 6pi = 24 pi / 6 = 4 pi = arc length = 4 x 3.14 = 12.56 ft

ElectricPavlov
Mar 16, 2017

#1**+5 **

Best Answer

Entire circle circumference = pi x d = pi x (6 x2) = 12 pi

the central angle's arc will be a fraction of this (2pi R is 360 degrees)

2pi/3 / 2pi x 12 pi = (2pi x 12 pi) / 6pi = 24 pi / 6 = 4 pi = arc length = 4 x 3.14 = 12.56 ft

ElectricPavlov
Mar 16, 2017