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

What is the relationship between an inscribed angle and the central angle that subtends the same arc in a circle?

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

정답

The inscribed angle measures exactly half of the central angle (and half of the intercepted arc measure): $\theta_{\text{inscribed}} = \frac{1}{2} \theta_{\text{central}}$.

해설

Consequently, any inscribed angle that intercepts a diameter (a semicircle of $180^\circ$) is a right angle ($90^\circ$, Thales's Theorem).

AI 생성 콘텐츠 · 감수: Ada