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Circles Objective: SWBAT define a circle and name its parts.
SWBAT use formulas to find the circumference and area of a circle.
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Vocabulary Circle a 2-dimensional shape made by drawing a curve that is always the same distance from a center Radius the distance from the center to the edge of a circle Diameter a straight line going through the center of a circle Chord a straight line connecting 2 points on a curve Arc part of the circumference (edge) of a circle Tangent a line that touches a curve at one point, without cutting across it
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Center the middle point of a circle
Sector a “pie slice” part of a circle Segment an area of a circle made by a line and an arc Circumference the distance around the edge of a circle Area the amount of space inside a 2- dimensional object
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Formulas: Circumference C = pi × diameter C = d Area of Circle A = pi × radius × radius A = r2 = 3.14
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Label the different parts of this circle.
(arc, center, chord, circumference, diameter, radius, sector, segment, tangent) Circumference Segment Chord Tangent Center Arc Diameter Radius Sector
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Calculate the circumference of each of these circles
Calculate the circumference of each of these circles. Give your answers correct to two decimal places. C = d Radius = 5 ft Diameter = =10 5 ft 3 in C = 3.14 (3) = 9.42 in C = 3.14 (10) = 31.4 ft
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Calculate the area of each of these circles
Calculate the area of each of these circles. Give your answers correct to two decimal places. A = r2 Diameter = 8 ft Radius = 8 ÷ 2 =4 2 in 8 ft A = 3.14 (2)2 = 3.14 (4) A = in2 A = 3.14 (4)2 = 3.14 (16) = ft2
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