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A sector is cut from a circle of radius $21$ cm. The central angle of the sector is $150^{\circ}$. Find the length of the arc of this sector and the area of the sector.
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Length of the arc $= 2 \times \frac{22}{7} \times 21 \times \frac{150}{360}$
$= 55$cm
Area of sector $= \frac{22}{7} \times 21 \times 21 \times \frac{150}{360}$
$= 577.5$ cm$^2$
$= 55$cm
Area of sector $= \frac{22}{7} \times 21 \times 21 \times \frac{150}{360}$
$= 577.5$ cm$^2$