Question

convert the following angle in degrees to radians. 225° 225° = radians (simplify your answer. type an exact answer in terms of π. use integers or fractions for a

Explanation:

Step1: Recall conversion formula

To convert degrees to radians, use the formula $radians = degrees\times\frac{\pi}{180}$.

Step2: Substitute the given degree - value

Substitute $degrees = 225$ into the formula: $225\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{225\pi}{180}=\frac{5\pi}{4}$ (divide both 225 and 180 by 45).

Answer:

$\frac{5\pi}{4}$