Answered

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

The Radius Of A Circle Is 1 What Is The Length Of An Arc That Subtends An Angle Of 10pi9 Radians class=

Sagot :

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

[tex]\frac{10\text{ pi}}{9}\text{ = }\frac{10X180^{\circ}}{9}=200^{\circ}[/tex]

Angle 360 -200 = 160

[tex]\begin{gathered} lengthofarc=\frac{\emptyset}{360}X\frac{2\pi\text{ r}}{1} \\ =\text{ }\frac{160}{360}X\frac{2\pi\text{ X 1 }}{1} \end{gathered}[/tex]

length of arc =2.7925

The length of the arc is approximately 2.8

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