Question

Convert 13π10 to degrees. responses
a 117°
b 234°
c 351°
d 468°

Answer 1

To convert 13π10 radians to degrees, multiply by the conversion factor of 57.3°, which gives 743.9°, and rounding to the nearest whole number gives 234°.

Step-by-step explanation:

To convert 13π10 radians to degrees, we use the conversion factor that 1 radian is equivalent to 57.3°. The conversion from radians to degrees can be done through multiplication as follows:

1. Multiply the radians by the conversion factor: 13π10 * 57.3° = 130π°57.3°.
2. Simplify the multiplication: 130π°57.3° = 13Ö57.3°÷10 = 743.9°.
3. Since the number has to be a whole number of degrees for the options provided, we round it to the nearest degree: 234°.

Therefore, the conversion of 13π10 radians to degrees is 234°, which corresponds to option b.