# SOLUTION: You have a sector PQR where QR is the arc of the circle with center P. If the lenght of the arc QR is 6pi, and the angle formed at point P is 30 degrees, what is the area of the se

Algebra ->  Algebra  -> Surface-area -> SOLUTION: You have a sector PQR where QR is the arc of the circle with center P. If the lenght of the arc QR is 6pi, and the angle formed at point P is 30 degrees, what is the area of the se      Log On

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Question 467135: You have a sector PQR where QR is the arc of the circle with center P. If the lenght of the arc QR is 6pi, and the angle formed at point P is 30 degrees, what is the area of the sector PQR? The answer is 108pi. I do not understand how they got this answer. Can you help?Answer by jim_thompson5910(28549)   (Show Source): You can put this solution on YOUR website!Note: 30 degrees = radians Arc length: where is the central angle (that subtends, ie cuts, the arc....this angle is in radians) and r is is the radius So we're given that and . So which means that the radius of this circle is 36 units. Area of sector: plug in and So the area is