Circular arc

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

Correct result:

x =  24.784 cm

Solution:

d=20 m A=142 ∘  o=π⋅ d=3.1416⋅ 20≐62.8319 cm  x=A360⋅ o=142360⋅ 62.8319=24.784 cmd=20 \ \text{m} \ \\ A=142 \ ^\circ \ \\ \ \\ o=\pi \cdot \ d=3.1416 \cdot \ 20 \doteq 62.8319 \ \text{cm} \ \\ \ \\ x=\dfrac{ A }{ 360 } \cdot \ o=\dfrac{ 142 }{ 360 } \cdot \ 62.8319=24.784 \ \text{cm}

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