Question

Points A and B lie on a circle with radius 1, and arc ⌢ AB has a length of π3. What fraction of the circumference of the circle is the length of arc ⌢ AB?

Answer 1

Answer:

arc AB =1/6 circumference

Explanation:

The circumference of a circle with radius r = 1

has a length C 1 =2r π =2 π

An arc length of π/3

represents π/3/2π = 1/3/2 +1/ 6  of this circumference

Sorry all those //// are those fraction line but i couldn't find them in these symbols hope this helpful.I get it.

Answer 2

Answer:

1/6

Explanation:

The circumference of a circle is denoted by: $C=2\pi r$, where r is the radius. Here, r = 1, so plug this in:

$C=2\pi r$

$C=2\pi *1=2\pi$ units

Now, we know that arc AB has a length of $\pi /3$ and we want to find the fraction of the circumference this is. So, divide $\pi /3$ by $2\pi$:

$\frac{\pi /3}{2\pi }=\frac{\pi }{3*2\pi }=\frac{\pi }{6\pi } =1/6$

Thus, the fraction is 1/6.

Hope this helps!