Question

How to convert 9 radians to degrees?

a) 513.2957°
b) 180°
c) 1545.3099°
d) 515.3325°

Answer 1

To convert 9 radians to degrees, multiply by 180°/π, resulting in approximately 515.66°. The closest given option is (d) 515.3325°.

Step-by-step explanation:

To convert radians to degrees, we use the fact that π radians is equivalent to 180 degrees. Therefore, to convert from radians to degrees, multiply the radian value by °/radians. For our case of 9 radians:

1. Multiply the radians by 180°/π to convert to degrees.
2. The calculation will be 9 * 180°/π.
3. Using the approximation π = 3.14159, the calculation becomes 9 * 180°/3.14159.
4. Therefore, 9 radians is approximately 515.66°.

Comparing this result to the given options, none of them match exactly. But, the correct choice that closely matches our calculated value is option (d) 515.3325°.