To determine how many degrees are equal to 18 radians, we need to use the formula that converts radians to degrees. The relationship between radians and degrees is based on the fact that a full circle is 360 degrees, which is equal to 2π radians.
The formula to convert radians to degrees is:
[tex]\[ \text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right) \][/tex]
Given:
[tex]\[ \text{radians} = 18 \][/tex]
Plugging this value into the formula:
[tex]\[ \text{degrees} = 18 \times \left(\frac{180}{\pi}\right) \][/tex]
After performing the computation, you find that:
[tex]\[ \text{degrees} \approx 1031.324031235482 \][/tex]
Therefore, 18 radians is approximately equal to 1031.324031235482 degrees.
