Question 1014568
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Find the area of the sector of a circle with radius 9 meters formed by a central angle of 130°:

square meters

Round your answer to two decimal places.
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Convert degrees into radians:


{{{alpha}}} = 130°  <----->  {{{alpha}}} = {{{2*pi*(130/360)}}} = 2.268 rad.


Area S = {{{(r^2*alpha)/2}}} = {{{(9^2*2.268)/2}}} = 91.85 {{{m^2}}}.


Area of the sector is S = {{{(r^2*alpha)/2}}},


where r is the radius of the circle and {{{alpha}}} is the central angle measure in radians.


See the lesson <A HREF=http://www.algebra.com/algebra/homework/Surface-area/Area-of-a-sector.lesson>Area of a sector</A> in this site.