Question

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 ?

Answer 1

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.

$\rule{200}{2}$

Answer 2

Answer:

Answer: 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. The fraction 1/6 can also be rewritten as 0.166 or 0.167.