SOLUTION: (a) Find the radian and degree measures of the central angle θ subtended by the given arc of length s on a circle of radius r. (b) Find the area of the sector determined by θ s=

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Question 1162232: (a) Find the radian and degree measures of the central angle θ subtended by the given arc of length s on a circle of radius r. (b) Find the area of the sector determined by θ
s= 3 ft.
r= 20 in.
Found 2 solutions by Cromlix, MathTherapy:
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Angle/360 = length of arc/pi x diameter
Angle/360 = 36 ins/pi x 40
Angle = 360 x 36 ins/pi x 40 ins
Angle = 103 degrees
Angle/360 = area of sector/pi x radius^2
103/360 = area of sector/pi x 20^2
Area of sector = 103 x pi x 20^2/360
Area of sector = 359.5 ins^2
Hope this helps :-)
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
(a) Find the radian and degree measures of the central angle θ subtended by the given arc of length s on a circle of radius r. (b) Find the area of the sector determined by θ
s= 3 ft.
r= 20 in.
Let A be angle, and convert to same UNITS.......From 3 feet to 36 inches.



 <===== DEGREE MEASURE

 <=== RADIAN MEASURE



Let A be the area of the sector



 

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