What are the properties of a unit circle?

Circle whose center is at the origin
Circle whose radius is one
All of the above

The correct answer is **"All of the above."**

A unit circle has the following properties:

1. **Center at the Origin**: The center of the unit circle is at the origin of the coordinate system, which is the point \((0, 0)\).
2. **Radius of One**: The radius of the unit circle is \(1\). This means that every point on the circle is exactly one unit away from the center.

These properties are what define a unit circle.

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:
1. What is the equation of a unit circle in the Cartesian coordinate system?
2. How is the unit circle used to define trigonometric functions?
3. What are the coordinates of key points on the unit circle, such as \(0^\circ\), \(90^\circ\), \(180^\circ\), and \(270^\circ\)?
4. How can the unit circle help in understanding the sine and cosine functions?
5. What is the significance of the unit circle in complex numbers?

**Tip:** The unit circle is fundamental in trigonometry and helps in understanding the periodic nature of the sine and cosine functions.

What are the properties of a unit circle? Circle whose center is at the origin Circle whose radius is one All of the above

Explore the properties of a unit circle, including its center at the origin and a radius of one unit. Learn how the unit circle is fundamental in geometry and trigonometry, with key concepts like its equation x^2 + y^2 = 1. Suitable for students in Grades 9-12.

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