Answer:
Perimeter of sector is 47.93 cm which is greater than 47.5 cm
Step-by-step explanation:
Mathematically, the perimeter of a sector is length of the arc plus 2 radii
The length of the arc is;
theta/360 * 2 * pi * r
where theta is the angle subtended by the arc at the center of the circle
Thus, we have
135/360 * 2 * 22/7 * 11 = 25.93
Add 2 radii = 25.93 + 2(11) = 47.93 cm
This is greater than what we are asked to calculate and thus we have shown what we are asked to show
