Question

convert the angle in degrees to radians.

• 225°

• 225° = radians

(simplify your answer. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall conversion formula

We know that to convert degrees to radians, we use the formula $\text{radians}=\text{degrees}\times\frac{\pi}{180^{\circ}}$.

Step2: Substitute the given degree value

Substitute $- 225^{\circ}$ into the formula: $-225^{\circ}\times\frac{\pi}{180^{\circ}}$.

Step3: Simplify the fraction

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

Answer:

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