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Parts of a Circle
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42 (5)(3)2 29 – 52 Simplify. Calculate the area. 9.1 cm 21 km 4 cm
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Center: The middle of a circle.
The set of all points the same distance from a point called the center. Center: The middle of a circle. Radius: The distance from the center of a circle to any point on the edge. Chord: A line segment with endpoints on the circle. Diameter: The distance across a circle through the center.
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Central Angle: An angle with its vertex at the center of the circle.
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Videos ~ SAV Lesson 3 ~ Parts of circle
animated characters: Kids:
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Example 1 Use C to name each circle part. A chord AB or EF A radius
CD or CE or CF A diameter EF Central Angle ∠ECD or ∠FCD or ∠FCE
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Example 2 The diameter of a circle is 12 centimeters. Find the radius.
Radius is half the diameter ÷ 2 = 6 The radius is 6 cm. The radius of a circle is 7 inches. Find the diameter. Diameter is double the radius. 7•2 = 14 The diameter is 14 inches.
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Example 3 Find the measure of the missing central angle.
The sum of the central angles is 360. Write an equation x = 360 Combine like terms x = 360 Subtract – – x = 80 The missing central angle , x, is 80⁰.
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How many degrees are in a circle? Name the longest chord in A.
Draw M with radius AM, diameter PR and chord XY.
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Communication Prompt Why is the diameter the longest chord in a circle? Why is proper notation important?
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