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2.1 Continued! Warm-up Learning Objective: To understand what a radian is and how they relate to degrees to be able to convert radians to degrees and degrees.

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Presentation on theme: "2.1 Continued! Warm-up Learning Objective: To understand what a radian is and how they relate to degrees to be able to convert radians to degrees and degrees."— Presentation transcript:

1 2.1 Continued! Warm-up Learning Objective: To understand what a radian is and how they relate to degrees to be able to convert radians to degrees and degrees to radians, and to learn the Area of a Sector formula and how to use it 1.Draw the angle: a.b. 2. Convert to a decimal: a.b. 3. Convert to DºM‘S“ : a. b. 4. Find the arc length of a circle with the given measures: a. b.

2 Converting Degrees and Radians 1 full revolution is 360º 180º= = NOTES Arc length of a full circle… So…1º= 180 and 1 radian= Conversion ratio!! Ex 1 – Convert to radians

3 Ex 2 - Convert to degrees If there’s no, use calc! Area of a Sector MUST be in radians!!!

4 Ex 3 - Find the area of a sector within a circle with radius 2ft formed by an angle of 30º. Round to 2 decimal places. Have to convert to radians!

5 HW – p. 125 #35-40,47-52,59,60,65,66, 79-82,86-88 Out - Convert 315º to radians. Summary - Choose one: Now I understand… or I’m not sure about… Quiz next time!!!


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