Length of a Chord in a Circle

In a circle, the radius measures 6 units. A chord is drawn such that it creates a central angle of 120 degrees. What is the length of the chord?

To find the length of a chord given the radius and the central angle, you can use the formula:

$$L = 2r \sin\left(\f\frac{\theta}{2}\right)$$

where:

• $$L$$ is the length of the chord,
• $$r$$ is the radius of the circle,
• $$\theta$$ is the central angle in degrees.