Whatvis the principal measure of an arc who's equal to pie over 5 (rad) 

The principal measure of an arc refers to the angle in radians within the interval \( [0, 2\pi) \). In this case, you are given the measure of the arc as \( \frac{\pi}{5} \) radians.

Since \( \frac{\pi}{5} \) is already within the range \( [0, 2\pi) \), the principal measure of the arc is simply \( \frac{\pi}{5} \) radians.

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Here are 5 related questions to explore:
1. How do you convert \( \frac{\pi}{5} \) radians to degrees?
2. What is the length of an arc subtended by an angle of \( \frac{\pi}{5} \) radians on a circle of radius \( r \)?
3. How do you calculate the area of a sector with an angle of \( \frac{\pi}{5} \) radians?
4. What is the relationship between degrees and radians in angular measurements?
5. How do you find the radian measure of an arc given its length?

**Tip:** When converting from radians to degrees, multiply the radian measure by \( \frac{180}{\pi} \).

What is the principal measure of an arc who's equal to pi over 5 (rad)?

Understand how to find the principal measure of an arc equal to π/5 radians, a common concept in trigonometry. This problem explores arc measures, radians, and the conversion from radians to degrees. Suitable for high school students in Grades 9-12.

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