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1 vote
An angle measuring 5.25 radians is equal to which of thee angle measures given below? round your answer to 2 decimal places after each conversion step.

A. 16° 24'
B. 300.80°
C. 16.49°
D. 300°48'

I think its B and D. Help me out?

2 Answers

4 votes
B and D are indeed the correct answers.
User Kingmaple
by
5.4k points
3 votes

Angles can be measured in either radians or degrees.

To convert radians to degrees we use the conversion formula:

1 radians = 180° ÷π

We have to convert 5.25 radians to degrees.

5.25 radians =[tex] \frac{180}{\pi} (5.25)=\frac{945}{\pi} =300.80 °

= 300 ° and 80(60) '( we convert .80° to minutes)

= 300 °48'( 1°= 60 ')

Option D. 300°48' is the right answer.

User Bhaskarc
by
5.7k points