Question

If a Circle with a 10 inch diameter has 10 equal slices with a interior angle of 60*, what would the arc length be for one slice?

Answer 1

Sorry Imeant 8 equal slices

Answer 2

The diameter of the circle is 10in so the radius is 5in. First, convert 60 degrees to radians:\[(60)(\frac{\pi}{180})=1.047\]This value is then used in this equation:\[\theta_{radians}=\frac{s}{r}\]where s is the arc length and r is the radius.

Therefore:\[1.047_{radians}=\frac{s}{5}\]Solving for s you get: \[s=5.235in\]

Answer 3

or you could precede as follows
circumference = 10pi
- this is split up into 8 equal lengths
so length of arc of each slice = 10 pi / 8

Answer 4

<slaps forehead> Yep.

Answer 5

I think I jumped right into the formula and overt-hought it :P

Answer 6

hmm...but it didn't come out the same. I must be in error somewhere up there.

Answer 7

yea - i've done something like that in past as well

Answer 8

10pi/8 = 3.927

Answer 9

10pi/8 is obviously right...just not sure why the formula didn't come out the same.

Answer 10

why 60(pi/180)?

Answer 11

It has to be in radians

Answer 12

yes but why 60?

Answer 13

The interior angle of 60 degrees

Answer 14

shouldn't that be 45?

Answer 15

I see the problem....the question states 60 degrees but it should have been 45. Yep.

Answer 16

Now all is right in the world again.

Answer 17

yes - I hadn't noticed that )in problem) - confusing

Answer 18

yes - lol

Answer 19

I guess I paid too much attention to the wording and not the picture :)

Answer 20

And NOW I realize that it should be 36 degrees....IF you go by the wording of TEN equal slices

Answer 21

yes - and i did the opposite
- questioner seems to have lost interest - he's gone!!

Answer 22

right!!!!

Answer 23

That question is all jacked up :)

Answer 24

a mess!!