QUESTION IMAGE
Question
- -/1 points 0/12 submissions used find the radian measure of the angle with the given degree measure. round your answer to three decimal places. 77° rad 4. -/1 points 0/12 submissions used find the radian measure of the angle with the given degree measure. round your answer to three decimal places. - 32° rad
Step1: Recall degree - radian conversion formula
The formula to convert degrees to radians is $r = d\times\frac{\pi}{180}$, where $r$ is the radian measure and $d$ is the degree measure.
Step2: Convert $77^{\circ}$ to radians
Substitute $d = 77$ into the formula: $r_1=77\times\frac{\pi}{180}\approx77\times\frac{3.14159}{180}\approx1.344$.
Step3: Convert $- 32^{\circ}$ to radians
Substitute $d=-32$ into the formula: $r_2=-32\times\frac{\pi}{180}\approx - 32\times\frac{3.14159}{180}\approx - 0.558$.
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For $77^{\circ}$, the radian measure is approximately $1.344$ rad.
For $-32^{\circ}$, the radian measure is approximately $- 0.558$ rad.