Circle: Angles

Angles Outside of A Circle

 

Angles Outside of A Circle

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\(\beta = \dfrac{\text{m}\overset {\huge\frown} {\text{AC}} - \text{m}\overset {\huge\frown} {\text{DF}}  }{2}\)

 

\(\text{m}\angle \text{ABC} = \dfrac{\text{m}\angle \text{AOC} - \text{m}\angle \text{FOD}}{2}\)

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\(\alpha = \dfrac{\text{m}\overset {\huge\frown} {\text{AC}} + \text{m}\overset {\huge\frown} {\text{DF}}  }{2}\)

 

\(\text{m}\angle \text{DEF} = \dfrac{\text{m}\angle \text{AOC} + \text{m}\angle \text{FOD}}{2}\)

Segments From Secants

 

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If two secants are drawn from a common point outside a circle then \(\:\color{blue} a(a + b) = c(c + d)\)

 

Exercise

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Central Angle and Inscribed Angle (Prev Lesson)
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