Radians to Degrees Examples
Example 1: Convert 9π/5 radians to degrees.
Solution:
Since, π radians = 180° or 1 radian = 1c = (180/π)°
Hence, (9π/5)c = (9π/5 × 180/π)° = 324°
Thus, (9π/5)c = 324o
Example 2: Convert −5π/6 radians into degrees.
Solution:
We know that π radians = 180° or 1 radian = 1c = (180/π)°
Hence, (−5π/6)c = (−5π/6 × 180/π)° = −150°
Thus, (9π/5)c = −150°
Example 3: Convert 18π/5 into degrees.
Solution:
We know that π radians = 180° or 1 radian = 1c = (180/π)°
Hence, (18π/5)c = (18π/5 × 180/π)° = 648°
Thus, (18π/5)c = 648°
Example 4: Convert −3 radians into degrees.
Solution:
We know that π radians = 180° or 1 radian = 1c = (180/π)°
Hence, (−3)c = (−3 × 180/π)° = (180 × 7 × −3/22)° = (−1719/11) = −171°(9 × 60/11)’ = −171°49’5”
Thus, (−3)c = −171o49’5”
Example 5: Convert 11 radians into degrees.
Solution:
We know that π radians = 180° or 1 radian = 1c = (180/π)°
Hence, (11)c = (11 × 180/π)° = (11 × 180 × 7/22) = 630°
Thus, (11)c = 630°
Example 6: Convert 1 radian to degrees.
Solution:
We know that π radians = 180° or 1 radian = 1c = (180/π)°
Hence, (1)c = (1 × 180/π)° = (180 × 7/22) = 57°(3 × 60/11) = 57°16′(4 × 60/11)” = 57°16’21”
Thus, (1)c = 57o16’21”
Radians to Degrees
Radians to Degrees: Radians to degrees is a type of transformation used in geometry to convert angle measurements. There are two alternative methods for measuring an angle. Radians and degrees are the two units used to measure angles. Radian is the most commonly used unit in trigonometry. Various types of angles are measured in radians and then converted to degrees using a formula. This formula is discussed below.
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