Question

convert the following angle in degrees to radians. 153° 153° = □ radians (simplify your answer. type an exact answer in terms of π. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall degree-to-radian formula

To convert degrees to radians, multiply by $\frac{\pi}{180}$.

Step2: Substitute the given angle

$153 \times \frac{\pi}{180}$

Step3: Simplify the fraction

Divide numerator and denominator by 9: $\frac{153\div9}{180\div9}\pi = \frac{17}{20}\pi$

Answer:

$\frac{17}{20}\pi$