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A central angle of a circle measures (2pi)/3 radians and its radius is 6 cm. What is the length of the arc intercepted by the angle?

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Okay, let's solve this step-by-step:

* The central angle measures (2pi)/3 radians

* Converting to degrees: (2pi)/3 radians = (2*3.14)/3 = 120 degrees

* The radius of the circle is 6 cm

To find the length of an arc intercepted by an angle (in degrees) and radius, we use the formula:

Arc Length = (Degrees * pi * Radius) / 180

So in this case:

Arc Length = (120 * 3.14 * 6) / 180 = 36 cm

Therefore, the length of the arc intercepted by the central angle is 36 cm.

Let me know if you have any other questions!

User Vite Falcon
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