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Mathematics 7 Online
OpenStudy (anonymous):

What is the length of XPY in terms of pi? 27pi m 18pi m 9pi m 3pi m

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

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

OpenStudy (anonymous):

37.6? @Kainui

OpenStudy (anonymous):

sorry 9pi...option C

OpenStudy (anonymous):

I don't have a 6pi

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

Thank you so much @tanmaykhandait

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