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Points A and B lie on a circle with radius 1, and arc
⌢
AB
has a length of
π
3
. What fraction of the circumference of the circle is the length of arc
⌢
AB
?

Respuesta :

bribri10011344

Answer: To figure out the answer to this question, you'll first need to know the formula for finding the circumference of a circle.  The circumference, C, of a circle is C=2πr, where r is the radius of the circle. For the given circle with a radius of 1, the circumference is C=2(π)(1), or C=2π.  To find what fraction of the circumference the length of  ⌢ AB  is, divide the length of the arc by the circumference, which gives  π 3 ÷2π. This division can be represented by  π 3 * 1 2 π= 1 6 .  The fraction  1 6  can also be rewritten as 0.166 or 0.167.

The final answer is  1 6 , 0.166, or 0.167.

casoten4

Answer:

To figure out the answer to this question, you'll first need to know the formula for finding the circumference of a circle.

The circumference, C, of a circle is C=2πr, where r is the radius of the circle. For the given circle with a radius of 1, the circumference is C=2(π)(1), or C=2π.

To find what fraction of the circumference the length of  

⌢

AB

is, divide the length of the arc by the circumference, which gives  

π

3

÷2π. This division can be represented by  

π

3

*

1

2

π=

1

6

.

The fraction  

1

6

can also be rewritten as 0.166 or 0.167.

The final answer is  

1

6

, 0.166, or 0.167.

Step-by-step explanation:

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