Inscribed and Central Angles in a Circle Play ... - Math Warehouse
Inscribed and Central Angles in a Circle Play ... - Math Warehouse
Inscribed and Central Angles in a Circle Play ... - Math Warehouse
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<strong>Inscribed</strong> <strong>and</strong> <strong>Central</strong> <strong>Angles</strong> <strong>in</strong> a <strong>Circle</strong><br />
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Vocabulary<br />
chord:<br />
major arc<br />
m<strong>in</strong>or arc<br />
<strong>in</strong>tercepted arc:<br />
<strong>in</strong>scribed angle<br />
central angle
Discover a Pattern<br />
m B<br />
m A<br />
m B<br />
m A<br />
m B<br />
m A<br />
m B<br />
m A<br />
What is the relationship between<br />
m B <strong>and</strong><br />
m A ?<br />
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Model Problems<br />
1) m KOL is 44 o<br />
A) What is the measure of m<strong>in</strong>or arc KL?<br />
B) What is the m KOJ ?<br />
2) m LOM is 168 o<br />
A) What is the measure of arc LM?<br />
B) What is the m LNM ?<br />
3) If m AOC = 60 o , what is the measure of<br />
A) m<strong>in</strong>or arc AC<br />
B) ABC<br />
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4) m<br />
AOC is 5x<br />
A) What is the measure of arc AC?<br />
B) What is m<br />
ABC ?<br />
Th<strong>in</strong>k Pair Share<br />
Is YZ a diameter? Expla<strong>in</strong> your reason<strong>in</strong>g
5) If the measure of arc LKJ = 62 o<br />
A) What is m LMJ ?<br />
B) What is m<br />
LOJ?<br />
6) If the measure of arc KJ = 55 , m<br />
LOJ = 90 , MJ is a diameter<br />
Determ<strong>in</strong>e the measure of the arcs <strong>and</strong> angles below<br />
a) arc LK<br />
b) MNJ<br />
c) LMJ<br />
d) arc LMJ<br />
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