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How many radians is #254^o#?

Question

How many radians is #254^o#?
How many radians is #254^o#?

Answers

4.433 radians

Explanation:

There are #360 °# in a full circle and this is the same #2pi# radians;

i.e # 360 ° = 2pi # radians

so it is a simple ratio issue: # 1 ° = (2pi)/360 # radians
# :. 254 ° = 254 xx (2pi)/360 # radians
# :. 254 ° = 127/90pi # radians
# :. 254 ° ~~ 4.433# radians


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