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Mathematics 14 Online
OpenStudy (anonymous):

MEDAL FOR BEST ANSWER The circumference of a circle is 30 pi cm. Find the diameter, the radius, and the length of an arc of 170 degrees

OpenStudy (anonymous):

Please help :(

OpenStudy (anonymous):

RULE #1: What is the formula for the circumference of a circle?

OpenStudy (anonymous):

umm not sure :( @Tajar

OpenStudy (anonymous):

3.14 times radius?

OpenStudy (anonymous):

C= 2πr

OpenStudy (anonymous):

They give us C

OpenStudy (anonymous):

okay so the equation would be 30pi =2pi times r? divide the pi's to get the radius?

OpenStudy (anonymous):

yes!

OpenStudy (anonymous):

good job!

OpenStudy (anonymous):

Then you get 2r=30

OpenStudy (anonymous):

so the radius is 15?

OpenStudy (anonymous):

yes!

OpenStudy (anonymous):

and then you know the diameter, right?

OpenStudy (anonymous):

wouldnt it be 30?

OpenStudy (anonymous):

d=2r

OpenStudy (anonymous):

so yes

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Now....do you know the RULE to find the length of an arc?

OpenStudy (anonymous):

add them together?

OpenStudy (anonymous):

Here is the RULE:

OpenStudy (anonymous):

The length of arc n degrees = n degrees/360 degrees (2pi x r)

OpenStudy (anonymous):

sorrrry something just bit me

OpenStudy (anonymous):

So basically an arc is just a percentage of the entire 360 degree circumference of a circle

OpenStudy (anonymous):

so 170/360 x 2pi (15)?

OpenStudy (anonymous):

OH NO!

OpenStudy (anonymous):

ARE YOU OK?

OpenStudy (anonymous):

Yeah, I am.

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Great Job!!

OpenStudy (anonymous):

i got 85 pi over 6..

OpenStudy (anonymous):

So (170/360) = .47

OpenStudy (anonymous):

Then .47 (30pi) =14.1pi

OpenStudy (anonymous):

you got the correct answer...just finish divding 85/6

OpenStudy (anonymous):

how did you get 30 pi?

OpenStudy (anonymous):

2pi x r = 2 x pi x 15 = 30 pi

OpenStudy (anonymous):

oh ok thanks!

OpenStudy (anonymous):

yw :)

OpenStudy (anonymous):

I might call you back for more help! I suck at this :(

OpenStudy (wolf1728):

Did you solve the arc length yet?

OpenStudy (anonymous):

yes I did

OpenStudy (wolf1728):

Okay - I joined this discussion so late I thought I skipped over it.

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