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

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

7 0

Answer:

$\boxed {\boxed {\sf 480\textdegree}}$

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

$\frac {8 \pi}{3} * \frac{180}{\pi}$

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

$\frac{8 \pi *180}{3 * \pi}$

The pi in the numerator and denominator will cancel out.

$\frac{8 *180}{3 }$

Multiply.

$\frac{1440}{3}=480$

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

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