SOLUTION: A circular pizza box logo has a sector with a central angle of 40 degrees and a diameter of 25 inches. Find the area of this sector. Please help! I've tried this over and over a

Algebra ->  Trigonometry-basics -> SOLUTION: A circular pizza box logo has a sector with a central angle of 40 degrees and a diameter of 25 inches. Find the area of this sector. Please help! I've tried this over and over a      Log On


   

Question 641336: A circular pizza box logo has a sector with a central angle of 40 degrees and a diameter of 25 inches. Find the area of this sector.
Please help! I've tried this over and over again and I can't seem to figure it out!
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A circular pizza box logo has a sector with a central angle of 40 degrees and a diameter of 25 inches. Find the area of this sector.
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r = d/2 = 12.5 inches
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Area+of+the+circle+=+pi%2Ar%5E2
sector+=+%2840%2F360%29%2Api%2Ar%5E2

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

A circular pizza box logo has a sector with a central angle of 40 degrees and a diameter of 25 inches. Find the area of this sector.
Please help! I've tried this over and over again and I can't seem to figure it out!

Area of sector = %28n%2F360%29%2Api%2Ar%5E2, with n being the central angle's size, and r, radius

Since n = 40%5Eo, and r = %281%2F2%2925, or 12.5 inches, we get:

A+=+%2840%2F360%29+%2A+pi+%2A+12.5%5E2

A+=+%281%2F9%29+%2A+pi+%2A+156.25

A, or area of sector = 54.54154 ≈ highlight_green%2854.54%29 sq inches

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