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What is the arc length when Θ = 4 pi over 7 and the radius is 5 cm?

20 pi over 7cm <--- I think it's this one, but I'm not sure
4 pi over 7cm
2 pi over 7cm
24 pi over 7cm

Respuesta :

Comment
The circumference of a circle is 2 pi * r
Any part of the circle's circumference can be labeled as
Arc length = (k / 2pi) * 2*pi * r 
The 2pi s will cancel out and you are left with

Arc Length = k * r 
In this case, k is in radians.

Givens
k = 4 pi / 7
r = 5 cm

Solve
Arc Length = 4*pi * 5 / 7 = 20 * pi / 7
Ans you are correct.

Answer:

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