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25 votes
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Really need help solving this..Having troubleThis is from my ACT prep guide

Really need help solving this..Having troubleThis is from my ACT prep guide-example-1
User Paccc
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1 Answer

21 votes
21 votes

We have to convert this angle measure from radians to degrees.

To do that we take into account that π radians is equivalent to 180°.

So we can convert the measure from radians to degrees by multiplying by the factor (180°/π).

Then, if the angle is 7π/11, we can express it in degrees as:


(7\pi)/(11)\cdot((180\degree)/(\pi))=(7\cdot180\degree)/(11)\approx114.55\degree

NOTE: to convert from degrees to radians, we use the same factor but inverted: we multiply by π/180.

Answer: 114.55°

User Henrique Jung
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