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Mathematics 16 Online
OpenStudy (anonymous):

what is the exact length of ab?

OpenStudy (anonymous):

hold on drawing a diagram

OpenStudy (anonymous):

|dw:1405580647048:dw|

ganeshie8 (ganeshie8):

find the circumference and scale it to 120 degrees

ganeshie8 (ganeshie8):

whats the circumference of circle of radius \(9\) ?

OpenStudy (anonymous):

56.55 is the radius

OpenStudy (anonymous):

circumference I mean lol

ganeshie8 (ganeshie8):

Excellent, since we don't have a full circle, we need to scale it to whatever the angle we have got

OpenStudy (anonymous):

so if I did this problem right its 18 m

ganeshie8 (ganeshie8):

circumference of circle = \(\large 2 \pi (9) = 18\pi\) length around arc AB = \[\huge 18\pi \times \dfrac{120}{360}\]

ganeshie8 (ganeshie8):

simplify

ganeshie8 (ganeshie8):

leave the answer in terms of \(\pi\) cos they want it exact

OpenStudy (anonymous):

18 \pi m\]

OpenStudy (anonymous):

is the answere am I right

ganeshie8 (ganeshie8):

nope, \(18 \pi\) is the length around FULL circle.

ganeshie8 (ganeshie8):

length around AB = \(\large 18\pi \times \dfrac{120}{360} = 6\pi \)

OpenStudy (anonymous):

ok I get it this is hard but I get it know I think thank you

ganeshie8 (ganeshie8):

glad to hear you got it :) yw!

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