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?

Question

asked Mar 14, 2021 156k views

2 Answers

Timesha · Answer 1 · 2021-03-15T20:32:19+0000

Answer:

1/6

Step-by-step 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
$2\pi$ :

$(\pi /3)/(2\pi )=(\pi )/(3*2\pi )=(\pi )/(6\pi ) =1/6$

Thus, the fraction is 1/6.

Hope this helps!

Miniwark · Answer 2 · 2021-03-19T13:36:45+0000

Answer:

arc AB =1/6 circumference

Step-by-step 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.