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5/17 Geometry Bell Ringer A circle has an area of 64π sq. in.
What is the circumference? Draw a picture of this circle with the radius labeled. Homework: DUE FRIDAY: p. 451 (#1 – 8, 11 – 14) p. 455 (#1, 3, 6, 7, 9, 11)
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5/17 News and Notes Perfection: 8th Period Missing Quizzes:
1st: Tracia, LaFontae, Brandey 7th: Good. 8th: Desirae, Arely, Diego Tutoring TOMORROW
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Take 3 minutes and try to solve on your own or with person next to you
Find the distance from A to B by going around the circle. A B
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So what’d you do? Found the circumference of the whole circle. Divided by two (or multiplied by 0.5)
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What’d you just find? You found the length of an arc.
Arc – A part of the distance around a circle. In this case, your arc was half of the circle. B
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Example #1 Step 1: Find circumference of circle C = 2πr C = 2π * 18
C = 36π cm Step 2: Find measurement of arc’s angle Step 3: m Arc / 360 Step 4: Multiply together
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Step 2: Find measurement of arc’s angle
360 – 150 = 210° Step 2b: m Arc / 360 How much of the circle? 210/360 Step 3: Multiply together
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To Review To find an arc length, you must know 3 things:
1. Circumference 2. How much out of 360° is the arc? 3. Multiply together
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Guided Practice – Beat the clock!
Find length of CD #1 – Find C C = 2πr C = 2π(10) C = 20π inches #2 – Find arc fraction 90/360 = 0.25 #3 – Find arc length D r = 10 in. A
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Independent Practice Remember that the RADIUS is the key that unlocks everything!!!!
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Exit Ticket 1. Find the length of AB
2. What did you learn about today? Be as precise as possible.
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