Circular arc

Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °

Correct answer:

x =  24.7837 cm

Step-by-step explanation:

$$\begin{gathered} d=20\text{ m } \\ A=142^{\circ } \\ o=\pi \cdot d=3.1416\cdot 20\doteq 62.8319\text{ cm } \\ x={\displaystyle \frac{A}{360}}\cdot o={\displaystyle \frac{142}{360}}\cdot 62.8319=24.7837\text{ cm} \end{gathered}$$

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