Arc length from radians

To find the length of an arc (of a sector), we can just calculate:

r\theta

Where:

Equation

The full equation would be:

l=r\theta

where:

Rearranging to find the arc length

l=r\theta

Rearranging to find the radius

r=\frac l{\theta}

Rearranging to find the angle of the sector

\theta=\frac lr

flashcards

QuestionAnswer
What is the formula for finding the length of an arc of a sector when the angle is measured in radians?l = r \theta
In the arc length formula l = r \theta, what does l represent?The length of the arc
In the arc length formula l = r \theta, what does r represent?The radius of the circle (or the sector’s circle)
In the arc length formula l = r \theta, what does \theta represent?The angle of the sector (the sector angle)
How do you find the radius r if you know the arc length l and the angle \theta in radians?r = \frac{l}{\theta}
How do you find the angle of the sector \theta if you know the arc length l and the radius r?\theta = \frac{l}{r}