SOLUTION: If the radius of a circle is doubled, by what factor does the area of the sector cut off by an angle of (theta) radians change?

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Question 549858: If the radius of a circle is doubled, by what factor does the area of the sector cut
off by an angle of (theta) radians change?
Answer by KMST(5328) About Me  (Show Source):
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If the dimensions of a solid or 2-dimensional figure change by a factor of x, the corresponding surfaces change by a factor of x%5E2 and the corresponding volumes (if applicable) change by a factor of x%5E3.
So if the radius changes by a factor of 2, the area will change by a factor od 2%5E2=4.