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The measure of the arc length of the sector will be 103.62 centimeters.
Let r be the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The central angle is 11π / 6 radian and the radius is 18 cm. Then the measure of the arc length is given as,
Arc = {(11π / 6)/2π} 2π (18)
Arc = 0.9167 x 2 x 3.14 x 18
Arc = 103.62 cm
The measure of the arc length of the sector will be 103.62 centimeters.
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