SOLUTION: Find the area of the sector of a circle with 32 feet and an intercepted angle that measures 3pi/5. I have tried to complete this problem but I can't seem to find the answer

Algebra ->  Surface-area -> SOLUTION: Find the area of the sector of a circle with 32 feet and an intercepted angle that measures 3pi/5. I have tried to complete this problem but I can't seem to find the answer       Log On


   

Question 1087309: Find the area of the sector of a circle with 32 feet and an intercepted angle that measures 3pi/5.
I have tried to complete this problem but I can't seem to find the answer
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is the length of the sector 32 ft?
If this is so:
The length of the whole circumference would be
+2%2Api%2Ar+ where +r+ is in feet
The entire circle has an angle of +2%2Api+ radians
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I can write a proportion:
+%28+3%2Api%2F5+%29+%2F+%28+2%2Api+%29+=+32%2F%28+2%2Api%2Ar%29+
+%28+3%2F5+%29+%2F+2+=+16+%2F+%28+pi%2Ar+%29+
+3%2F10+=+16+%2F+%28+pi%2Ar+%29+
+3%2Api%2Ar+=+160+
+r+=+%28+160%2F3+%29%2Fpi+
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If +A+ is the area of the sector,
Here is another proportion:
+A+%2F+%28+pi%2Ar%5E2+%29+=+%28+%283%2Api%29%2F5+%29+%2F+%28+2%2Api+%29+
+A+%2F+%28+pi%2Ar%5E2+%29+=+3%2F10+
+A+=+%283%2F10%29%2Api%2Ar%5E2+
+A+=+%283%2F10%29%2Api%2A%28160%2F3%29%5E2%2Fpi%5E2+
+A+=+%283%2F10%29%2Api%2A%28+25600%2F9+%29%2Fpi%5E2+
+A+=+2560%2F%28+3%2Api%29+
+A+=+853.333%2Fpi+
+A+=+271.624+ ft2
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I could easily have made a mistake
Check the math & get another opinion!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area of the sector of a circle with 32 feet and an intercepted angle that measures 3pi/5.
I have tried to complete this problem but I can't seem to find the answer 
To get a correct answer, you first need to state the problem correctly, beginning with the 32 feet. 

What is the 32 feet? Is it the length of the arc or the length of the circumference?