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Brums [2.3K]
3 years ago
13

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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