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Convert each radian measure into degrees.
4) 8pi/3


Sagot :

Answer:

[tex]\boxed {\boxed {\sf 480\textdegree}}[/tex]

Step-by-step explanation:

First, remember that π radians is equal to 180 degrees. Therefore, to convert from radians to degrees, multiply by 180/π.

The radian measure given is 8π/3

[tex]\frac {8 \pi}{3} * \frac{180}{\pi}[/tex]

Multiply the fractions. Multiply across the numerator, then across the denominator.

[tex]\frac{8 \pi *180}{3 * \pi}[/tex]

The pi in the numerator and denominator will cancel out.

[tex]\frac{8 *180}{3 }[/tex]

Multiply.

[tex]\frac{1440}{3}=480[/tex]

The radian measure 8π/3 is equal to 480 degrees.