An arc subtends a central angle measuring 2pi/3
radians.
What fraction of the circumference is this arc?
of the circumference

1/3

Step-by-step explanation:

We know that angle subtended by whole circumference is .

If r is the radius then Length of whole circumference is

radian has  length

dividing  both side by we have

1 radian has r length  

1 radian = r length      equation a

=> since we have to find value of circumference for we

multiply both side of equation a with .

therefore, length of required arc is

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we have to find how much is this as fraction of total  circumference of circle

fraction of circumference = value of arc length / total length of circumference

fraction of circumference =

Thus, the given arc is 1/3 of circumference of circle.

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step-by-step explanation: