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Parts of a Circle. 9.1 cm. 21 km. 4 cm. 13.8 cm. 9 km. Simplify . 4 2 (5)(3) 2 29 – 5 2 Calculate the area. Circle : The set of all points the same distance from a point called the center. Center : The middle of a circle.

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slide2

9.1 cm

21 km

4 cm

13.8 cm

9 km

Simplify.

  • 42
  • (5)(3)2
  • 29 – 52

Calculate the area.

slide3

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.
slide4

Central Angle:

An angle with its vertex at the center of the circle.

videos sav lesson 3 parts of 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
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
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
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 – 280x = 80
  • The missing central angle , x, is 80⁰.
slide9

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