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Section 4.1: Angles and Their Measures

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1 Section 4.1: Angles and Their Measures
Do Now How many degrees are in a circle? How many degrees are in a semi-circle? What is the measure of a right angle? What is the area of a circle? How can you determine the amount of area in a right angle of a circle with radius of 6 in?

2 Convert between DMS and degree form.
DMS: Degrees, Minutes, Seconds Convert to simply degrees. Convert to DMS.

3 Convert between degrees and radians.
Radians are another way to measure angles. One radian equals ____________. Pi radians equals _____________. Two pi radians equals _____________. Conversions…

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5 Practicing Conversions
Convert to radians. Convert to radians. Convert to degrees. Convert to degrees.

6 Use the arc length formula.
Given the radius is 10 inches and angle measure is , find the arc length. Given the angle measure is and arc length is 30 feet, find the radius. Given the arc length is 3½ yards and the radius is ¾ of a foot, find the angle measure in degrees.

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8 Solve applications.

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