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Circles

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2 Circle: Plane figure Not a polygon Not made up of line segments

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Diameter: Longest chord, line, in a circle 3

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Radius Line segment with one endpoint at the center of the circle and the other endpoint on the circle. Half of the Diameter 4

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Area: A = r 5

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Find the area 6 77 cm

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Find the area 7 12 m

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Find the area 8 24 cm

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Find the area 9 56 ft

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Circumference: Distance around a circle C = d C = 2 r 10

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Find the circumference 11 77 cm

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Find the circumference 12 12 m

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Find the circumference 13 24 cm

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Find the circumference 14 56 ft

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All About Words 15

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Word Problems A circular shield has a diameter of 20 inches. Find the area of the steel needed to cover one side of the shield. 16

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Word Problems A pizza recipe calls for the dough to be rolled out to form a circle with a diameter of 18 inches. Find the area of the dough when it is rolled out. 17

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Word Problems The diameter of a circle that a shot- putter stands in is 7 feet. What is the area of the circle? 18

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Word Problems Meteor Crater in central Arizona was formed when an asteroid struck Earth between 20,000 and 50,000 years ago. The circular crater has a diameter of 1.2 kilometers. Find the area of the crater to the nearest hundredth. 19

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Word Problems An architect is making a plan for a new circular theater. The diameter of the theater is 32 meters. What is the circumference? 20

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Word Problems A builder is putting in a circular window. What is the circumference if the diameter is 4 feet? 21

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Word Problems A builder is putting in a circular window. What is the circumference if the radius is 2 feet? 22

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Word Problems A gardener is digging a circular pond. If the diameter of the pond is 5 yards. What is the circumference? 23

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Word Problems The first Hula Hoop was introduced in 1958. What is the circumference of a Hula Hoop with a 3 foot diameter? 24

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Word Problems The circumference of a circle is 24 meters. Find the diameter. 25

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Word Problems Stan needs a new bicycle tire. His tire has a circumference of about 113.04 inches. What is the diameter of the tire? 26

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Word Problems Billy Bob needs a new Hula Hoop. His Hula Hoop has a circumference of about 42.39 feet. What is the diameter of the Hula Hoop? 27

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Word Problems The circumference of a circle is 4 What is the area? Leave your answer in terms of pi. 28

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Lesson 10-1 Introduction to Circles. Circles - Terms y x Chord Radius (r) Diameter (d) Center Circumference = 2 πr = dπ 0° 180° 90° 270°

Lesson 10-1 Introduction to Circles. Circles - Terms y x Chord Radius (r) Diameter (d) Center Circumference = 2 πr = dπ 0° 180° 90° 270°

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