1.24 radians is approximately 71.06 degrees.
To convert radians to degrees, multiply the radian value by 180 divided by π (pi). Since 1 radian equals about 57.2958 degrees, 1.24 radians translates to roughly 71.06 degrees.
Conversion Tool
Result in degrees:
Conversion Formula
The formula to convert radians to degrees is:
Degrees = Radians × (180 ÷ π)
This works because a full circle has 360 degrees or 2π radians. So, one radian equals 180/π degrees. When you multiply the radian value by 180 divided by π, you get the equivalent angle in degrees.
Example:
- Given 1.24 radians
- Calculate degrees: 1.24 × (180 ÷ 3.1416) ≈ 1.24 × 57.2958
- Result: ≈ 71.06 degrees
Conversion Example
- Convert 2 radians to degrees:
- Multiply 2 by 180/π: 2 × 57.2958 = 114.59 degrees
- This means 2 radians equals about 114.59 degrees.
- Convert 0.5 radians to degrees:
- 0.5 × 57.2958 = 28.65 degrees
- So, 0.5 radians corresponds to approximately 28.65 degrees.
- Convert -1.5 radians to degrees:
- -1.5 × 57.2958 = -85.94 degrees
- Negative radians convert to negative degrees, so -1.5 radians is -85.94 degrees.
- Convert 3.14 radians to degrees:
- 3.14 × 57.2958 ≈ 179.91 degrees
- This is close to 180 degrees, as expected since π radians equals 180 degrees.
- Convert 4.2 radians to degrees:
- 4.2 × 57.2958 ≈ 240.29 degrees
- This shows 4.2 radians is equivalent to about 240.29 degrees.
Conversion Chart
| Radians | Degrees |
|---|---|
| -23.8 | -1363.18 |
| -20.0 | -1145.92 |
| -15.5 | -888.87 |
| -10.3 | -590.00 |
| -5.7 | -326.63 |
| -2.4 | -137.51 |
| 0 | 0 |
| 1.2 | 68.75 |
| 4.5 | 257.61 |
| 7.9 | 452.72 |
| 10.4 | 596.41 |
| 14.1 | 808.20 |
| 18.3 | 1048.56 |
| 21.7 | 1243.59 |
| 26.2 | 1501.57 |
This chart provides a quick reference to convert radian values between -23.8 and 26.2 into degrees. You can find your radian value in the first column and read across to its equivalent degrees in the second column. Useful when you need conversions without a calculator.
Related Conversion Questions
- What is 1.24 radians in degrees rounded to two decimal places?
- How many degrees equal 1.24 radians exactly?
- Can I convert 1.24 radians to degrees without using a calculator?
- Is 1.24 radians greater or less than 70 degrees?
- What formula do I use to change 1.24 radians into degrees?
- How do I convert 1.24 radians into degrees by hand?
- Why does 1.24 radians equal about 71 degrees?
Conversion Definitions
Radians: A radian is the angle formed when the radius of a circle is wrapped along its circumference. It is a unit of angular measure used in mathematics and physics, defined as the ratio of the length of an arc to its radius, approximately equal to 57.2958 degrees.
Degrees: Degrees are a unit measuring angles, dividing one full circle into 360 equal parts. Each degree is subdivided into 60 minutes and 3600 seconds. Degrees are commonly used in everyday measurements, navigation, and geometry to express angles.
Conversion FAQs
Does converting radians to degrees affect the precision of the angle?
When converting radians to degrees, the precision depends on how many decimal places you keep. Since π is irrational, any decimal approximation introduces slight errors. Using more decimal places for π and the result improves accuracy, but some rounding is unavoidable.
Why is the conversion factor 180 divided by π?
A full circle measures 360 degrees and 2π radians. Dividing 360 degrees by 2π radians simplifies to 180/π. This ratio converts the radian measure, which is based on radius and arc length, into degrees, a more familiar unit for angles.
Can radians be negative, and what does that mean for degrees?
Radians can be negative, representing angles measured clockwise from the positive x-axis instead of counterclockwise. When converted, negative radians produce negative degrees, indicating direction rather than magnitude.
Are degrees or radians better for measuring angles?
Radians are preferred in higher mathematics and physics because they simplify formulas involving trigonometric functions and calculus. Degrees are more intuitive for everyday use and navigation, but radians provide cleaner expressions for many mathematical operations.
How do I convert degrees back to radians?
To convert degrees to radians, multiply the degree value by π divided by 180. This reverses the conversion from radians to degrees and allows switching between the two units easily.