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

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Question 149138: What is the area enclosed by a circular sector whose radius is r and arc length is s.
Found 2 solutions by Earlsdon, edjones:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
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


Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
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}
.
Ed

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