SWBAT: Find angles measures in Circles

HW: Pages 50-54

SWBAT: Find angles measures in Circles

Challenge

SWBAT: Find angles measures in Circles

𝟐∡ = 𝒂𝒓𝒄

𝟐(∡𝑩) = 𝟏𝟎𝟎

𝟓𝟎° = ∡𝑩

SWBAT: Find angles measures in Circles

𝟐∡ = 𝒂𝒓𝒄

𝟐(𝟑𝟖) = 𝑨𝑩

𝟕𝟔° = 𝑨𝑩

𝑪𝒆𝒏𝒕𝒓𝒂𝒍 ∡ = 𝒂𝒓𝒄

∡𝑨𝑶𝑩 = 𝟕𝟔°

SWBAT: Find angles measures in Circles

HW: Pages 50-54

𝟐∡ = 𝒂𝒓𝒄

𝟐(∡𝑩) = 𝟏𝟑𝟎

𝟔𝟓° = ∡𝑪𝑩𝑨

SWBAT: Find angles measures in Circles

𝟐∡ = 𝒂𝒓𝒄

𝟐(∡𝑩) = 𝟐𝟏𝟎

𝟏𝟎𝟓° = ∡𝑪𝑩𝑨

𝟐∡ = 𝒂𝒓𝒄

𝟐(∡𝑪) = 𝟏𝟖𝟎

𝟗𝟎° = ∡𝑪

SWBAT: Find angles measures in Circles

SWBAT: Find angles measures in Circles

131°

𝟐 ∙ ∡ = 𝒇 − 𝒏 𝟐 ∙ 𝑩 = 𝟐𝟐𝟗 − 𝟏𝟑𝟏 𝟐𝑩 = 𝟗𝟖

𝑩 = 𝟒𝟗°

𝟓𝟎° + 𝑵𝑳 = 𝟏𝟖𝟎

𝑵𝑳 = 𝟏𝟑𝟎°

𝑵?𝑳 = 𝟑𝟔𝟎° − 𝟏𝟑𝟎° = 𝟐𝟑𝟎°

SWBAT: Find angles measures in Circles

𝟐 ∙ ∡ = 𝒇 − 𝒏 𝟐 ∙ 𝒙 = 𝟏𝟓𝟗 − 𝟖𝟕 𝟐𝒙 = 𝟕𝟐

𝒙 = 𝟑𝟔°

𝟐 ∙ ∡ = 𝒇 − 𝒏 𝟐 ∙ 𝟓𝟎 = 𝒙 − 𝟓𝟏 𝟏𝟎𝟎 = 𝒙 − 𝟓𝟏

𝟏𝟓𝟏° = 𝒙

SWBAT: Find angles measures in Circles

𝟐 ∙ 𝟔𝟎 = 𝟔𝟓 + 𝒙 𝟏𝟐𝟎 = 𝟔𝟓 + 𝒙 𝟓𝟓 = 𝒙

𝟐 ∙ ∡ = 𝒇 + 𝒏

𝟐 ∙ 𝒙 = 𝟗𝟓 + 𝟏𝟑𝟕

𝒙 = 𝟏𝟏𝟔° 𝟐𝒙 = 𝟐𝟑𝟐

𝟐 ∙ ∡ = 𝒇 + 𝒏

SWBAT: Find angles measures in Circles

70°

180°

n n

(55)

(55)

𝟐𝒏 + 𝟐𝟓𝟎° = 𝟑𝟔𝟎°

𝟐𝒏 = 𝟏𝟏𝟎°

𝒏 = 𝟓𝟓°