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The area of a sector of a circle with a central angle of 3π/13 rad is 19 m2. Find the radius of the circle.

 Sep 30, 2016
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The area of the WHOLE circle is the area of the central angle of 2pi

Let's set up a ratio     2pi  / (3pi/13)   =   x / 19    

and solve for 'x'    =   2pi / (3pi/13)    x   19   = 26 / 3     x 19 =  494 / 3 =164 2/3 m^2

 Sep 30, 2016

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