To convert degrees to radians, multiply degrees by
To convert radians to degrees, multiply radians by
Example 1-8 : Convert degrees to radians :
Example 1 :
45°
Solution :
To convert the given angle measure 45° to radians, multiply 45° by π/180°.
= 45° x (π/180°)
= 45°π/180°
= π/4 radians
Example 2 :
90°
Solution :
To convert the given angle measure 90° to radians, multiply 90° by π/180°.
= 90° x (π/180°)
= 90°π/180°
= π/2 radians
Example 3 :
135°
Solution :
To convert the given angle measure 135° to radians, multiply 135° by π/180°.
= 135° x (π/180°)
= 135°π/180°
= 3π/4 radians
Example 4 :
180°
Solution :
To convert the given angle measure 180° to radians, multiply 180° by π/180°.
= 180° x (π/180°)
= 180°π/180°
= π radians
Example 5 :
225°
Solution :
To convert the given angle measure 225° to radians, multiply 225° by π/180°.
= 225° x (π/180°)
= 225°π/180°
= 5π/4 radians
Example 6 :
270°
Solution :
To convert the given angle measure 270° to radians, multiply 270° by π/180°.
= 270° x (π/180°)
= 270°π/180°
= 3π/2 radians
Example 7 :
315°
Solution :
To convert the given angle measure 315° to radians, multiply 315° by π/180°.
= 315° x (π/180°)
= 315°π/180°
= 7π/4 radians
Example 8 :
360°
Solution :
To convert the given angle measure 360° to radians, multiply 360° by π/180°.
= 360° x (π/180°)
= 360°π/180°
= 2π radians
Example 9 :
22.5°
Solution :
To convert the given angle measure 22.5° to radians, multiply 22.5° by π/180°.
= 22.5° x (π/180°)
= 22.5°π/180°
= π/8 radians
Example 10 :
67.5°
Solution :
To convert the given angle measure 67.5° to radians, multiply 67.5° by π/180°.
= 67.5° x (π/180°)
= 67.5°π/180°
= 3π/8 radians
Example 11-20 : Convert radians to degrees :
Example 11 :
π/5
Solution :
To convert the given angle measure π/5 to degrees, multiply π/5 by 180°/π.
= (π/5) x (180°/π)
= 180°π/5π
= 180°/5
= 36°
Example 12 :
π/20
Solution :
To convert the given angle measure π/20 to degrees, multiply π/20 by 180°/π.
= (π/20) x (180°/π)
= 180°π/20π
= 180°/20
= 9°
Example 13 :
π/18
Solution :
To convert the given angle measure π/18 to degrees, multiply π/18 by 180°/π.
= (π/18) x (180°/π)
= 180°π/18π
= 180°/18
= 10°
Example 14 :
π/10
Solution :
To convert the given angle measure π/10 to degrees, multiply π/10 by 180°/π.
= (π/10) x (180°/π)
= 180°π/10π
= 180°/10
= 18°
Example 15 :
π/9
Solution :
To convert the given angle measure π/9 to degrees, multiply π/9 by 180°/π.
= (π/9) x (180°/π)
= 180°π/9π
= 180°/9
= 20°
Example 16 :
π/8
Solution :
To convert the given angle measure π/8 to degrees, multiply π/8 by 180°/π.
= (π/8) x (180°/π)
= 180°π/8π
= 180°/8
= 22.5°
Example 17 :
2π/5
Solution :
To convert the given angle measure 2π/5 to degrees, multiply 2π/5 by 180°/π.
= (2π/5) x (180°/π)
= (2π x 180°)/5π
= (2 x 180°)/5
= 360°/5
= 72°
Example 18 :
7π/20
Solution :
To convert the given angle measure 7π/20 to degrees, multiply 7π/20 by 180°/π.
= (7π/20) x (180°/π)
= (7π x 180°)/20π
= (7 x 180°)/20
= 1260°/20
= 63°
Example 19 :
5π/18
Solution :
To convert the given angle measure 5π/18 to degrees, multiply 5π/18 by 180°/π.
= (5π/18) x (180°/π)
= (5π x 180°)/18π
= (5 x 180°)/18
= 900°/18
= 50°
Example 20 :
7π/3
Solution :
To convert the given angle measure 7π/3 to degrees, multiply 7π/3 by 180°/π.
= (7π/3) x (180°/π)
= (7π x 180°)/3π
= (7 x 180°)/3
= 1260°/3
= 420°
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