# Calculate the length of an arc of a circle with a radius of 4 cm if its degree measure is 120^(circ). What is the area of the circular sector corresponding to the given arc?

Calculate the length of an arc of a circle with a radius of 4 cm if its degree measure is ${120}^{\circ }$. What is the area of the circular sector corresponding to the given arc?
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Aubrie Conley
1) The length of the arc of a circle is calculated by the formula $L=\pi \ast R\ast a/180$, where a is the degree measure of the arc of a circle, then $L=\pi \ast 4\ast 120/180=8\ast \pi /3\left(cm\right)$.
2) The area of the circular sector is
$S=\pi \ast {R}^{2}\ast a/360=\pi \ast {4}^{2}\ast 120/360=16\ast \pi /3\left(c{m}^{2}\right)$.