Unit 4: Circles and Volume

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Presentation transcript:

Unit 4: Circles and Volume Circle Vocabulary

Daily Agenda

Daily Agenda

Daily Agenda

Daily Agenda

Unit 4: Circles and Volume 4.1 Circumference and Arc Length of a Circle

Daily Agenda degrees radians 360˚ 2π

Daily Agenda Converting between Degrees and Radians 𝝅 𝟗 𝟓𝝅 𝟔 𝝅 𝟒 𝟐𝟕𝟎° 𝟐𝟎× 𝝅 𝟏𝟖𝟎 = 𝟏𝟓𝟎× 𝝅 𝟏𝟖𝟎 = 𝝅 𝟗 𝟓𝝅 𝟔 𝟒𝟓× 𝝅 𝟏𝟖𝟎 = 𝝅 𝟒 𝟑𝝅 𝟐 × 𝟏𝟖𝟎 𝝅 = 𝟓𝝅 𝟑 × 𝟏𝟖𝟎 𝝅 = 𝟐𝟕𝟎° 𝟑𝟎𝟎° 𝝅 𝟏𝟐 × 𝟏𝟖𝟎 𝝅 = 𝟏𝟓°

Daily Agenda perimeter circumference diameter radius double ratio π 𝟐𝟐 𝟕 3.14

Daily Agenda 𝟐𝝅 𝟏𝟐 = 𝟐𝝅 𝟗 = 𝟐𝟒𝝅 𝟏𝟖𝝅 𝟐𝝅 𝟏𝟕.𝟓 = 𝟑𝟓𝝅 𝟐𝝅 𝟐.𝟖 = 5.6𝝅

Daily Agenda degrees angle measure circumference Arc length

Daily Agenda 𝟕𝟕𝝅 𝟒 𝟏𝟑𝝅 𝟔 𝟗𝟓𝝅 𝟔 𝟑𝟗𝝅 𝟒 𝟐𝝅(𝟏𝟏)× 𝟑𝟏𝟓 𝟑𝟔𝟎 = 𝟏𝟑× 𝝅 𝟔 = 𝟏𝟑× 𝟑𝝅 𝟒 = 𝟐𝝅(𝟏𝟗)× 𝟏𝟓𝟎 𝟑𝟔𝟎 = 𝟗𝟓𝝅 𝟔 𝟑𝟗𝝅 𝟒