I'm having difficulty with this circle geometry question
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I'm having difficulty with this circle geometry question

[From: ] [author: ] [Date: 11-11-13] [Hit: ]
Even if I use the sector to determine the total area of the circle, Im not sure on what the next step would be. I just posted this, and was given an answer, but it wasnt very thorough and Im not quite sure what my next step is. Any help would be appreciated.......
Hey there, this question provides me with the area of a sector and a central angle. The central angle is 270 degrees and sector is 75m^2, so I know what it looks like, but I'm not quite sure how I would determine the radius of the circle. Even if I use the sector to determine the total area of the circle, I'm not sure on what the next step would be. I just posted this, and was given an answer, but it wasn't very thorough and I'm not quite sure what my next step is. Any help would be appreciated. Thanks. (I don't require the answer. Just what my next step is.)

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I'm not sure what you mean by central angle.
I'm gonna assume that's the sector angle.
so its
sector area =sector angle/360 x pi(radius)^2
75= 270/360 x pi(radius)^2
75/0.75 =pi x radius^2
100/pi=r^2
r= [square root] 31.83
r=5.64m
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