Parts of a Circle.

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Presentation transcript:

Parts of a Circle

42 (5)(3)2 29 – 52 Simplify. Calculate the area. 9.1 cm 21 km 4 cm

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.

Central Angle: An angle with its vertex at the center of the circle.

Videos ~ SAV Lesson 3 ~ Parts of circle animated characters: http://www.youtube.com/watch?v=eiHWHT_8WrE&NR=1 Kids: http://www.youtube.com/watch?v=nIQo_-VVNEQ&NR=1

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

Example 2 The diameter of a circle is 12 centimeters. Find the radius. Radius is half the diameter. 12 ÷ 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.

Example 3 Find the measure of the missing central angle. The sum of the central angles is 360. Write an equation. 140 + 40 + 100 + x = 360 Combine like terms. 280 + x = 360 Subtract. –280 – 280 x = 80 The missing central angle , x, is 80⁰.

How many degrees are in a circle? Name the longest chord in A. Draw M with radius AM, diameter PR and chord XY.

Communication Prompt Why is the diameter the longest chord in a circle? Why is proper notation important?