Angles and Their Measures

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Presentation transcript:

Angles and Their Measures Objective: Students will be able to convert between linear and angular speed and recall knowledge of angle and radian measures

Angles Degrees measured from 0 to 360 around a circle Radian is in terms of pi based on the radius of a circle

Converting from Degree to Radian You should know this forwards and backwards

Example How many radians are in 90 degrees? How many degrees are in pi/3 radians?

Circular Arc Length How long the part of the circle are is between 2 radii

Example Find the perimeter of a 60 degree slice of a large 7 in radius pizza

Example The running lanes at the Emery Sears track are 1 meter wide. The inside radius of lane 1 is 33 meters and the inside radius of land 2 is 34 meters. How much longer is land 2 than lane 1 around one turn?

Homework Pg 356 25,27,33,35,45 Honors Take notes and describe how to do Degree Minutes and Seconds and Nautical miles on same sheet as notes do problem3,8,43 due 1 week