Question 1194249
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It sounds like the radius is 16 cm and the central angle is 135 degrees. 


A full circle of radius 16 cm has the exact circumference of 2pi*r = 2*pi*16 = 32pi cm.


However, we only want a fractional pizza slice of this. We want 135/360 = 3/8 of the full thing.
(3/8)*(full circumference) = (3/8)*(32pi) = 12pi


The curved portion is exactly 12pi centimeters.
Add on the two straight line portions of the pizza slice
12pi + 16 + 16 = 12pi + 32


The perimeter of this pizza slice is exactly 12pi + 32 centimeters.


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The area of a full circle of radius r = 16 is 
A = pi*r^2
A = pi*16^2
A = 256pi


Take 3/8 of it to get the area of the pizza slice
(3/8)*256pi = 96pi


Area of the sector = 96pi square cm.
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