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Radians - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=toRad

Solve.
Type "pi" in for π. Example: "2π" as "2pi".

1.   Convert 126° to radians.
2.   Convert 144° to radians.

Complexity=1, Mode=toDeg

Solve.
Type "pi" in for π. Example: "2π" as "2pi".

1.  
Convert

5
to degrees.
°
2.  
Convert
π
5
to degrees.
°

Answers


Complexity=1, Mode=toRad

Solve.
Type "pi" in for π. Example: "2π" as "2pi".

#ProblemCorrect AnswerYour Answer
1Convert 126° to radians.
Solution
To convert degrees to radians, multiply by
π
180
126
π
180
= 7 126 • π
180 10
=

10

The solution can be entered as either 7/10pi or 7pi/10.
#ProblemCorrect AnswerYour Answer
2Convert 144° to radians.
Solution
To convert degrees to radians, multiply by
π
180
144
π
180
= 4 144 • π
180 5
=

5

The solution can be entered as either 4/5pi or 4pi/5.

Complexity=1, Mode=toDeg

Solve.
Type "pi" in for π. Example: "2π" as "2pi".

#ProblemCorrect AnswerYour Answer
1
Convert

5
to degrees.
°
Solution
To convert radians to degrees, multiply by
180
π

5
180
π
= 2 π180 36
1 5 π
= 72
#ProblemCorrect AnswerYour Answer
2
Convert
π
5
to degrees.
°
Solution
To convert radians to degrees, multiply by
180
π
π
5
180
π
= π180 36
1 5 π
= 36
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