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홈 / 라이브러리 / Digital SAT Math: Algebra, Advanced Math & Geometry / AI 플래시카드

How are arc length $s$ and sector area $A_{\text{sector}}$ calculated for a central angle of $\theta$ radians and radius $r$?

덱 'Digital SAT Math: Algebra, Advanced Math & Geometry'의 플래시카드.

정답

Arc length $s = r\theta$; Sector area $A_{\text{sector}} = \frac{1}{2} r^2 \theta$.

해설

If the central angle is in degrees: $s = 2\pi r \left(\frac{\theta}{360^\circ}\right)$ and $A_{\text{sector}} = \pi r^2 \left(\frac{\theta}{360^\circ}\right)$.

AI 생성 콘텐츠 · 감수: Ada