SOLUTION: What is the area enclosed by a circular sector whose radius is r and arc length is s.

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You could try proportions on this problem:
Let's compare the ratio of the arc length, S, to the circumference of the circle, C, with the ratio of the area enclosed by the sector to the area of the entire circle . Remember that

Simplify and solve for

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pi*r^2=A (circle)
pi*2r=C (circle)
C/s=2pi radians/s [s is in radians]
A {circle}*(s/(2pi radians))=A {enclosed by the circular sector}
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Ed