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What is the arc length formula $s$ for a central angle $\theta$ in radians?

デッキ「Digital SAT: Comprehensive Practice (Math & Reading-Writing)」の単語カード。

解答

$s = r \cdot \theta$, where $r$ is the radius and $\theta$ is measured in radians.

解説

If angle is given in degrees, convert via $\theta_{\text{rad}} = \theta_{\text{deg}} \times \frac{\pi}{180^\circ}$. Sector area is $A = \frac{1}{2}r^2\theta$.

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