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Angle Conversion: Radians to Degrees and Degrees to Radians

Chapter , Problem 4

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QUESTION:

Express the following angles in radians:

(a) \(20.0^{\circ}\),

(b) \(50.0^{\circ}\),

(c) \(100^{\circ}\).

Convert the following angles to degrees:

(d) 0.330 rad,

(e) 2.10 rad,

(f) 7.70 rad.

Questions & Answers

QUESTION:

Express the following angles in radians:

(a) \(20.0^{\circ}\),

(b) \(50.0^{\circ}\),

(c) \(100^{\circ}\).

Convert the following angles to degrees:

(d) 0.330 rad,

(e) 2.10 rad,

(f) 7.70 rad.

ANSWER:

Step 1 of 2

Converting from \(\circ\) to radians and vice versa is quite straightforward. We use the relationship that \(180^{\circ}\) is equal to pi radians. 

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Angle Conversion: Radians to Degrees and Degrees to Radians
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Learn how to convert between radians and degrees for various angle measurements, expanding your understanding of angular units.


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