A circle has a radius of 5cm . A sector of the circle has a central angle of 7pi/6 radians. Find the area of the sector.

Do not round any intermediate computations. Round your answer to the nearest tenth.

=cm^2

Question

A circle has a radius of 5cm  . A sector of the circle has a central angle of 7pi/6  radians. Find the area of the sector. 


Do not round any intermediate computations. Round your answer to the nearest tenth. 


=cm^2

anonymous · Answer

$$\frac{ 7\pi }{ 6 }$$

amistre64 · Answer

well,  since   7pi/6  is some ration of 2pi ...  the percentage of the total area of the circle is:

7pi/6        7/6
-----  =   --- = 7/12 of the total circle area
 2pi            2

amistre64 · Answer

so ...$$A=\frac 7{12}\pi~r^2$$

amistre64 · Answer

i tend to get confused with sector and segment ... so that might have to be modified if the area is not a slice of pizza shape

amistre64 · Answer

|dw:1395419373031:dw|

nah, its fine ...