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determine the degree measure of an arc whose central angle measures 4pi/15 radians

Sagot :

Answer:

[tex]\boxed{\textsf{ The degree measure is \textbf{ 48}$^{\textbf{o}}$.}}[/tex]

Step-by-step explanation:

Here we are given radian measure which is 4π/15 radians . We know the relationship between Radian and Degree measure as ,

[tex]\qquad\boxed{\boxed{ \sf\pi rad = 180^o }}[/tex]

Put on the respective values ,

=> π rad = 180°

=> 1 rad = 180°/ π

=> 4π/15 rad = 180°/π × 4π/15

=> 4π/15 rad = 48 °

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