Center, Radius, and Diameter

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Presentation transcript:

Center, Radius, and Diameter

What are the relationships among the parts of a circle? Focus Question What are the relationships among the parts of a circle?

Key Concept A CIRCLE is the set of all points in a plane that are the same distance from the given point called the CENTER.

Key Concept You name a circle by its center. Circle P is shown.

A DIAMETER is a line segment that passes through the center of a circle and has both endpoints on the circle.

Parts of a Circle A RADIUS is a segment that has one endpoint at the center and the other endpoint on the circle.

Examples—Part 1 You name a segment by its endpoints. Read AB as “segment AB.” The diagram shows AB , AC , and BC .

Examples—Part 1 To refer to the length of a segment, you write the letters without the segment bar. So AB=3 in. and BC=3 in.

Examples—Part 1 An art class developed this logo to represent the school in an art show. Determine which segments are radii.

Examples—Part 1 An art class developed this logo to represent the school in an art show. Determine which segments are diameters.

Examples—Part 1 How many radii are shown?

Examples—Part 2

Examples—Part 2 The distance from a car to the center of the Ferris wheel is 221.5 ft. Approximately how tall is the Ferris wheel?

Examples—Part 2 In the diagram, ST=4 1/3 ft What is SO?

Examples—Part 3 3x - 1 = 5 3x = 6 x = 2 The expression 3x−1 represents the diameter of the orange slice. What is the value of x ? 3x - 1 = 5 3x = 6 x = 2

Examples—Part 3 2x - 4 = 24 2x = 28 x = 14 If KM=2x−4 and LM=12, what is the value of x ? 2x - 4 = 24 2x = 28 x = 14

Review: HW: What is a radius? What is a diameter? How does the radius relate to the diameter? Review: HW: Radius and Diameter worksheet