Convert 1.3 radians to degrees.
Understand the Problem
The question is asking how to convert an angle measured in radians (1.3 radians) into degrees. The conversion from radians to degrees can be done using the formula: degrees = radians × (180/π).
Answer
$74.99$ degrees
Answer for screen readers
The angle of 1.3 radians is approximately $74.99$ degrees.
Steps to Solve
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Identify the Conversion Formula We will use the formula to convert radians to degrees, which is given by: $$ \text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right) $$
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Substitute the Radian Value Now substitute the value of radians (1.3) into the formula: $$ \text{degrees} = 1.3 \times \left(\frac{180}{\pi}\right) $$
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Calculate the Value Next, calculate the multiplication using the approximate value of $\pi \approx 3.14159$: $$ \text{degrees} = 1.3 \times \left(\frac{180}{3.14159}\right) $$
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Perform the Calculation Now compute the actual value: $$ \text{degrees} \approx 1.3 \times 57.2958 $$
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Final Calculation Finally, multiply to find the number of degrees: $$ \text{degrees} \approx 74.985 $$
The angle of 1.3 radians is approximately $74.99$ degrees.
More Information
This conversion is useful in various fields such as physics, engineering, and mathematics, where angles need to be converted between different units for calculations. The conversion factor of $\frac{180}{\pi}$ comes from the relationship between the circumference of a circle and its radius.
Tips
- Forgetting to multiply by the conversion factor $\frac{180}{\pi}$.
- Using an incorrect value for $\pi$. Always make sure to use a sufficiently precise value for more accurate results.
