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Nezavi [6.7K]
3 years ago
13

A circle has a circumference of 6. it has an arc of length 1/3

Mathematics
2 answers:
Lena [83]3 years ago
5 0

Answer:

20

Step-by-step explanation:

Maksim231197 [3]3 years ago
3 0

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s:  s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3  /  (6/π), or  Ф = π/18 rad.    

                                                                           π         180°

Converting this into degrees, we multiply    ------ by ----------

                                                                           18        π rad

obtaining:  Ф = 10°

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