What is the length of XPY in terms of pi?
27pi m
18pi m
9pi m
3pi m
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OpenStudy (anonymous):
OpenStudy (anonymous):
Please show work
OpenStudy (kainui):
Since circumference is just 2pi times the radius, just find the circumference first. Then subtract out the amount that's leftover.
OpenStudy (anonymous):
how do i find circumference?
OpenStudy (anonymous):
@Kainui
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OpenStudy (kainui):
The ratio of a circle's circumference to its diameter is what pi is. In an equation form, it's the same as saying this. \[\frac{C}{d}=\pi\]
You're given a radius, which is just half the diameter, and you want to find the circumference. So do a little algebra rearranging... \[C= \pi d\] since d=2r we get \[C= 2 \pi r\]
OpenStudy (anonymous):
let : s=length of arc, r=radius, theta=angle in radians
therefore the formula goes as : s=r*theta
therefore \[s=6*(3 pi/2)=28.26m\]
OpenStudy (anonymous):
what? @tanmaykhandait
OpenStudy (anonymous):
that is not one of my choices though
OpenStudy (anonymous):
according to you choices...its 6pi
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