Question

The radius of a circle is 1 what is the length of an arc that subtends an angle of 10pi/9 radians

Answer 1

To convert from radians to degrees, you have to know that 180 degrees is equal to one pi

`\frac{10\text{ pi}}{9}\text{ = }(10X180^(\circ))/(9)=200^(\circ)`

Angle 360 -200 = 160

`\begin{gathered} lengthofarc=(\emptyset)/(360)X\frac{2\pi\text{ r}}{1} \\ =\text{ }(160)/(360)X\frac{2\pi\text{ X 1 }}{1} \end{gathered}`

length of arc =2.7925

The length of the arc is approximately 2.8