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Published byMatthew Haynes Modified over 9 years ago
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Circles – They make the world go ‘round! (Circumference and Area)
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Partner Vocabulary NotesPartner Vocabulary Notes Share a copy of Buckle Down, Page 163-164 Complete foldable with vocabulary word, definition and picture. 10 minutes
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“Parts of a Circle” Organizer“Parts of a Circle” Organizer Create a class poster with all parts of the circle labeled. (see next slides)
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DIAMETER DIAMETER is the distance through the CENTER of the circle. It is twice as large as the radius. d =diameter r= radius
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Radius Radius is ½ as large as the diameter. R=1/2d
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Parts of a Circle…Parts of a Circle…
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Circumference Circumference is the distance around the circle. To find the circumference of a circle, you have to know the diameter or radius.
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PI Pi is… the ratio of the circumference to the diameter.
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The Area and Circumference of a CircleThe Area and Circumference of a Circle Diameter radius The circumference of a circle is the distance around the outside The area of a circle is the space inside it The circumference is found using the formula: C=πd or C= 2rπ (since d=2r) The area is found using the formula A= π r 2
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BEFORE WE BEGIN FINDING CIRCUMFERENCE AND AREA, YOU MUST REMEMBER THIS… For every problem, you must show: The Formula The Substitutions Final Answer Labeling
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The diameter of the quarter is 5.5cm. What is the circumference? What is the area?
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AND THE ANSWER IS…..AND THE ANSWER IS….. approx 17.27 cm circumference approx. 23.74625 cm 2 Area
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Why “APPROXIMATELY”?
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The diameter of the circle is 8cm. What is the circumference? What is the area?
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AND THE ANSWER IS…..AND THE ANSWER IS….. approx. 25.12 cm circumference approx. 50.24 cm 2 Area
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The radius of the circle is 2cm. What is the circumference? What is the area?
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AND THE ANSWER IS…..AND THE ANSWER IS….. approx. 12.56 cm circumference approx. 12.56cm 2 Area
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A pizza place has an 8” diameter, 12” diameter, and a 16” diameter pizza. What is the area and circumference of those pizzas?
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AND THE ANSWERS ARE (approximately)…..AND THE ANSWERS ARE (approximately)….. 8” Pizza: circumference: 25.12” area: 50.24 in 2 12” Pizza: circumference: 37.68” area: 113.04 in 2 16” Pizza: circumference: 50.24” area: 200.96 in 2
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The area of a circle is 78.5 square meters. What is the radius?
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AND THE ANSWER IS…..AND THE ANSWER IS….. Radius = 5 meters approximately
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The circumference of a circle is 15.7 centimeters. What is the diameter?
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AND THE ANSWER IS…..AND THE ANSWER IS….. Diameter = 5 cm approximately
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Independent PracticeIndependent Practice Buckle Down Page 165-166 All problems Homework if not complete
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Using Circumference Formula and Area of a Parallelogram for Area of a Circle Buckle Down Page 164 Use Paper Plates or segmented circle to demonstrate
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If time…If time… Sir Cumference and the Round Table
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