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Hello, I just have one question.

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148
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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
+10657
+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
Sort:

#1
+10657
+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
#2
0

Thanks so much!

Guest Mar 16, 2017
#3
+10657
+5

You're welcome.......   I hope you understand the explanation....

ElectricPavlov  Mar 16, 2017

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