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- anonymous

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- jamiebookeater

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- anonymous

I'm quite confused. i dont know now T.T
arc length:
l = 2(theta)(r)(theta/360)
l = 2(90)(5)(90/360)
l=225
225x4 = 900
perimeter is 900cm

- ganeshie8

arc length :
\(\large l = 2 (\theta)r \frac{\pi}{360}\)
now try

- anonymous

oh, wrong formula. ok let me solve it:)

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## More answers

- lncognlto

This is just a thought, but wouldn't the perimeter of the shaded region be equal to the circumference of a circle with a radius of 5 cm?

- ganeshie8

Or, you can see that there are four quarter arcs of radius 5
which give u 1 complete perimeter of circle of radius 5

- ganeshie8

^^ Yes :)

- anonymous

my arc length is 7.85
so.. my perimeter of the shaded region is 31.42 approximately. is that right?

- ganeshie8

\(\large \color{red}{\checkmark}\)
next try if you get lncognlto's suggestion...

- anonymous

ah, yes, thanks.
and yup, what he said was right:) I just need a complete solution though:) thanks guys

- ganeshie8

both methods are considered complete solutions :) u wlc :)
however ur teacher wud get more impressed if u do the lncognlto's method...

- anonymous

oh, haha, alright, will do that :)

- ganeshie8

good :D

- anonymous

@ganeshie8 , if this is the problem..
would the formula still be 2(theta)(r)(pi/360)
or it should be 2(theta)(2)(pi/180)?

##### 1 Attachment

- ganeshie8

Alright, here is the original formula :-
arc length \(l = r\theta\)
\(\theta\) is in radians

- ganeshie8

to convert given \(\theta\) degrees into \(\theta\) radians, u multiply \(\frac{2\pi}{360}\)
which is same as multiplying \(\frac{\pi}{180}\) :-
arc length \(l = r \theta \frac{2\pi}{360}\)
\(\theta\) is in degrees now

- ganeshie8

for the triangle, did they give u any dimensions ?

- anonymous

thank you so much.
yep, ill post my solution later for checking:)

- lncognlto

May I give another thought? xD

- anonymous

sure:)

- ganeshie8

sure :)

- lncognlto

If this triangle is equilateral, then the angles of each of the sectors is going to be 60 degrees. Thus three sectors together make 180 degrees, or half a circle. So the perimeter of the shaded region would then be equal to half the circumference of a circle with the radius equaling half the length of a side of the triangle.

- anonymous

oh, that's right. smart one. Hahaha. will remember that:)

- ganeshie8

60 + 60 + 60
and
180
which one save u time ha ? I'm sure ur teacher wants u do this exactly as lcognlto suggests !

- anonymous

i believe so too:)

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