Converting radians to degrees

Converting radians to degrees

Converting radians to degrees

Start with given 5Π. Apply conversion factor : 180 degrees = Π 0r 2Π = 360 degrees. Multiply by the conversion factor so that the units cancel.

Ex. 5Π rad x 360º = 900º

.........................2Π rad

Be careful if radians are given in decimal or as an expression of pi. Don't assume pi is there unless it is written!

converting degrees to radians

Start with given 90.º. Apply conversion factor : 180 degrees = Π 0r 2Π = 360 degrees. Multiply by the conversion factor so that the units cancel.

Ex. 90.º x 2Π rad = .5Π = 1. 6 rad

..................360º

In Physics, generally radians are given in decimal rather than as an expression of pi.

Multiple Choice

On revolution is

• 360°

• 2Π

• Both 360° and 2Π

Multiple Choice

Convert between radians and degrees: 180.° =

• 5.2 rad

• .31 rad

• .78 rad

• 3.14 rad

Multiple Choice

2.4 radians is

• not possible

• 432°

• 1357°

• 138°

Multiple Choice

Convert between radians and degrees: 45° =

• 5.2 rad

• .31 rad

• .78 rad

• 3.14 rad

Multiple Choice

Convert between radians and degrees: 18° =

• 5.2 rad

• .31 rad

• .78 rad

• 3.14 rad

Multiple Choice

Convert between radians and degrees: 300° =

• 5.2 rad

• .31 rad

• .78 rad

• 3.14 rad

Multiple Choice

Convert between radians and degrees: 3 rad =

• 172°

• 143°

• 114°

• 97^°

Multiple Choice

Convert between radians and degrees: 2.5 rad =

• 172°

• 143°

• 114°

• 97^°

Multiple Choice

Convert between radians and degrees: 2 rad =

• 172°

• 143°

• 114°

• 97^°

Multiple Choice

Convert between radians and degrees: 1.7 rad =

• 172°

• 143°

• 114°

• 97^°