A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure). For a circle of radius $r,$ the area $A$ of a sector of the circle with central angle $\theta$ (measured in radians) is given by $A = \frac { 1 } { 2 } r ^ { 2 } \theta$ . A sprinkler system on a farm is set to spray water over a distance of $60$ feet and rotates through an angle of $110 ^ { \circ }$ . Use the above given information to find the area of the region. Round your answer to two decimal places.
A)3457.14
B)314.29
C)3300.00
D)1728.57
E)12,100.00

Question

A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure).  For a circle of radius $r,$ the area $A$ of a sector of the circle with central angle $\theta$ (measured in radians) is given by $A = \frac { 1 } { 2 } r ^ { 2 } \theta$ . A sprinkler system on a farm is set to spray water over a distance of $60$ feet and rotates through an angle of $110 ^ { \circ }$ . Use the above given information to find the area of the region. Round your answer to two decimal places.
A)3457.14 
B)314.29 
C)3300.00 
D)1728.57 
E)12,100.00

Quizplus · Accepted Answer

The Answer of A sector of a circle is the region bounded by two radii of the circle and their intercepted arc (see figure).  For a circle of radius $r,$ the area $A$ of a sector of the circle with central angle $\theta$ (measured in radians) is given by $A = \frac { 1 } { 2 } r ^ { 2 } \theta$ . A sprinkler system on a farm is set to spray water over a distance of $60$ feet and rotates through an angle of $110 ^ { \circ }$ . Use the above given information to find the area of the region. Round your answer to two decimal places.
A)3457.14 
B)314.29 
C)3300.00 
D)1728.57 
E)12,100.00

A Sector of a Circle Is the Region Bounded by Two