secondary math 2 -...
TRANSCRIPT
![Page 1: Secondary Math 2 - blog.wsd.netblog.wsd.net/.../2018/04/11.2-Central-and-Inscribed-Angles-ADay.pdfSECONDARY MATH 2 11.2 –Central and Inscribed Angles. WARM-UP: Calculate the arc](https://reader031.vdocuments.us/reader031/viewer/2022022600/5b3b57b77f8b9a986e8c1673/html5/thumbnails/1.jpg)
SECONDARY MATH 2 11.2 – Central and Inscribed Angles
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WARM-UP:
Calculate the arc length and area of the sector with the given information.
𝜃 = 210°
𝑟 = 0.5 𝑚𝑖𝑙𝑒𝑠
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QUESTIONS ON 11.1
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WHAT YOU WILL LEARN
I will be able to find any central angle, inscribed angle, or the measure of any minor or major arc.
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KEY WORDSCentral Angle:
Where is the vertex?
What are the sides?
![Page 6: Secondary Math 2 - blog.wsd.netblog.wsd.net/.../2018/04/11.2-Central-and-Inscribed-Angles-ADay.pdfSECONDARY MATH 2 11.2 –Central and Inscribed Angles. WARM-UP: Calculate the arc](https://reader031.vdocuments.us/reader031/viewer/2022022600/5b3b57b77f8b9a986e8c1673/html5/thumbnails/6.jpg)
KEY WORDSInscribed Angle:
Where is the vertex?
What are the sides?
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KEY WORDSSemicircle:
Major Arc:
Minor Arc:
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CENTRAL OR INSCRIBED?
![Page 9: Secondary Math 2 - blog.wsd.netblog.wsd.net/.../2018/04/11.2-Central-and-Inscribed-Angles-ADay.pdfSECONDARY MATH 2 11.2 –Central and Inscribed Angles. WARM-UP: Calculate the arc](https://reader031.vdocuments.us/reader031/viewer/2022022600/5b3b57b77f8b9a986e8c1673/html5/thumbnails/9.jpg)
FIND THE MEASURE OF THE ARC
USING CENTRAL ANGLE
Measure of Central Angle = Measure of Intercepted Arc
B
D
C50BCDm
50) ( :Then BDarcmA
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MEASURE OF THE ARC (CENTRAL ANGLE)
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MEASURE OF THE CENTRAL ANGLE
120°
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FIND MEASURE OF THE ARC
A
B
D
USING INSCRIBED ANGLE
Measure of Inscribed Angle = ½ Measure of Intercepted Arc
25BADm
25*2) ( :Then BDarcm
50) ( :Then BDarcm
C
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MEASURE OF THE ARC (INSCRIBED ANGLE)
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MEASURE OF THE INSCRIBED ANGLE
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PRACTICE
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INSTRUCTIONS FOR PROBLEMS 16-23
A is the center.
DF is a diameter of the circle.
The length of DF is 20.
The measure of arc EF is 70 degrees.
Find the values for the other arcs and angle measures.