Question

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

Answer 1

`\boxed {\boxed {\sf 480\textdegree}}`

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

`\frac {8 \pi}{3} * (180)/(\pi)`

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

`(8 \pi *180)/(3 * \pi)`

The pi in the numerator and denominator will cancel out.

`(8 *180)/(3 )`

Multiply.

`(1440)/(3)=480`

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