SOLUTION: The arc length of a sector is equal to twice the radius. Express the arc length s as a function of the area a of the sector.

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Question 1037390: The arc length of a sector is equal to twice the radius. Express the arc length s as a function of the area a of the sector.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
s+=+r%2Atheta and s = 2r ==> theta+=+2.
The area of a circular sector is A+=+%28r%5E2%2Atheta%29%2F2.
==> A+=+%28r%5E2%2Atheta%29%2F2+=+r%5E2
Since r = s/2, it follows that A+=+s%5E2%2F4, or s%5E2+=+4A, or
s+=+2sqrt%28A%29.