Question 1155544
.
 a circle a diameter 28 cm with a sector subtending an angle of 75 
at the centre. Find the area of the shaded region
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        Calculations in the post by @mananth are incorrect.

        Below see my correct solution.



Area of sector = {{{(theta/360)* pi * r^2}}}


Area = {{{(75/360) * pi * 14^2}}} = 128.28 cm^2,  approximately.