What is (300^\circ) in radians?

Correct answer: ( \frac{5\pi}{3} ) radians

The answer is option A, 5pi/3 radians. To convert degrees into radians, multiply the degree measure by pi/180. Therefore 300 degrees=(300pi)/180 radians. Simplifying by dividing numerator and denominator by 60 gives 5pi/3 radians. Option A has exactly this value, so it is correct. Option B, 4pi/3, equals 240 degrees because 4 times 180 divided by 3 is 240. Option C, 7pi/4, equals 315 degrees, not 300 degrees. Option D, 3pi/2, equals 270 degrees. Another useful check is that 300 degrees is 60 degrees short of 360 degrees, so its radian measure is 2pi-pi/3=5pi/3. The answer must be less than 2pi because 300 degrees is less than a full turn. Remember the conversion direction: degrees to radians means multiply by pi/180.