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what is the lenght of the arc on a circle with radius 10cm intercepted by a 20° angle? use 3.14 for pie

Sagot :

The radius of the circle = 10cm

Intercepted by angle =20

Expression for the Arc of the circle is

[tex]\begin{gathered} \text{Arc Length=2}\pi\text{Radius}\frac{\theta}{360} \\ \text{Substitute the value of Radius =10cm \& }\theta=20 \\ \text{Arc Length=2}\pi(10)\frac{20}{360} \\ \text{Arc Length=}\pi(10)\frac{1}{9} \\ \text{Arc Length=}\frac{3.14\times10}{9} \\ \text{Arc Length=}3.488\text{ cm} \end{gathered}[/tex]

The length of Arc Length is 3.488

Answer : 3.488 cm

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