Question

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): 7π/3

Answer 1

420°

Explanation:

To convert from radian to degree measure

degree measure = radian measure ×
`(180)/(\pi )`

Hence

degree =
`(7\pi )/(3)` ×
`(180)/(\pi )`

Cancel π on numerator/ denominator

=
`(7(180))/(3)` = 420°

Answer 2

400 degrees

Explanation:

Step 1 : To convert radians to degrees, multiply the given radian by 180/pi

7pi/3 x 180/pi

Step 2 : Cancel pi

7/3 x 180

= 420 degrees

Step 3 : Round it to nearest 100

Since 20 is closer to 400 than 500 therefore it will be rounded off to

400 degrees

!!