Question

find the radian measure of the angle with the given degree measure. round your answer to three decimal places. 68°

Explanation:

Step1: Recall conversion formula

The formula to convert degrees to radians is $\text{Radians}=\text{Degrees}\times\frac{\pi}{180}$.

Step2: Substitute the value

Substitute the degree - measure of $68^{\circ}$ into the formula: $68\times\frac{\pi}{180}=\frac{68\pi}{180}=\frac{17\pi}{45}$.

Step3: Calculate the value

Using $\pi\approx3.14159$, we have $\frac{17\times3.14159}{45}\approx1.1868$.

Step4: Round the answer

Rounding $1.1868$ to three decimal places gives $1.187$.

Answer:

$1.187$