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3. -/1 points 0/12 submissions used find the radian measure of the angl…

Question

  1. -/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

Explanation:

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: $r_2=-32\times\frac{\pi}{180}\approx - 32\times\frac{3.14159}{180}\approx - 0.558$.

Answer:

For $77^{\circ}$, the radian measure is approximately $1.344$ rad.
For $-32^{\circ}$, the radian measure is approximately $- 0.558$ rad.