Question

convert the following angle from degrees to radians. express your answer in simplest form. 45°

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given degree value

Substitute $45^{\circ}$ into the formula: $45\times\frac{\pi}{180}$.

Step3: Simplify the expression

Simplify $\frac{45\pi}{180}$ by dividing numerator and denominator by 45: $\frac{45\pi\div45}{180\div45}=\frac{\pi}{4}$.

Answer:

$\frac{\pi}{4}$ radians