Question

convert the angle $\theta = 70^{circ}$ to radians. express your answer exactly. $\theta=\text{radians}$

Explanation:

Step1: Recall conversion formula

To convert degrees to radians, use the formula $\theta_{rad}=\theta_{deg}\times\frac{\pi}{180^{\circ}}$.

Step2: Substitute the given value

Given $\theta_{deg} = 70^{\circ}$, then $\theta_{rad}=70\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\theta_{rad}=\frac{70\pi}{180}=\frac{7\pi}{18}$.

Answer:

$\frac{7\pi}{18}$