The different parts of a circle and its ApplicationOK.pptx

This topic introduces the different parts of a circle and their descriptions. Also, real life applications are presented to better appreciate the lesson.

1. .

2. CIRCLE - set of points that are of the same distance from a given point in a plane

3. R EAL LIFE APPLICATIONS OF CIRCLE

4. SPORTS 1

5. ARCHITECTURAL DESIGNS 2

6. MUSIC 3

7. AMUSEMENT PARK 4

8. PARTS OF A CIRCLE

9. Diameter Circumference 6. The distance around the outside of a circle 7. The distance from one side to the other passing through the center of the circle Chord Radius Sector Arc 5. Part of the circumference at the edge of a sector Segment Tangent 1. The part of a circle between two radii and an arc 2. A straight line which touches a circle at one point only 3. The part of a circle between a chord and an arc 8. The line connecting the center of the circle and the circumference 4. A line touching the circumference of the circle at two points Match up the word with the correct definition.

10. The distance around the circle The distance from one side to the other passing through the center of the circle Part of the circumference at the edge of a sector The part of a circle between two radii and an arc A straight line which touches a circle at one point only The part of a circle between a chord and an arc The line connecting the center of the circle and a point on the circle A line touching the circumference of the circle at two points SECTOR TANGENT SEGMENT DIAMETER CIRCUM- FERENCE RADIUS CHORD ARC

11. Radius Diameter Sector Segment Tangent Arc Circumference Chord Copy the two diagrams carefully in your notebook. Label your two diagrams using the words below A B D C Major arcs Minor Arcs B C E D A

12. PARTS OF A CIRCLE Chord Radius Diameter Secant Tangent Circumference Center

13. Circumference Diameter The circumference of a circle is the distance around the outside of a circle The diameter of the circle is the distance from one side to the other passing through the center of the circle

14. Radius Chord A chord is a line touching the circumference of the circle at two points The radius is the line connecting the center of the circle and the circumference

15. Sector Arc A sector is the part of a circle between two radii and an arc An arc is the part of the circumference at the edge of a sector

16. Segment Tangent A segment is the part of a circle between a chord and an arc A tangent is a straight line which touches a circle at one point only

17. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A diameter is a chord.

18. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A chord is a diameter.

19. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A radius is a chord.

20. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A radius is half of a diameter.

21. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A chord is a secant.

22. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A chord is tangent.

23. ALWAYS TRUE, SOMETIMES TRUE, NEVER TRUE A secant contains a chord.

24. ALWAYS TRUE (AT), SOMETIMES TRUE (ST), NEVER TRUE (NT) The center of a circle is an exterior point of the circle.

25. Use the given diagram for the following: 1. Name two radii. 2. Name 2 chords except diameter . 3. Name the center of the circle . 4. Name a diameter. 5. Name five arcs of the circle . 6. Name a tangent H A G J E D F C B K .

26. Extension Problems Draw a circle with radius 4cm. What is the length of the diameter of the circle? How many sectors of 90 ° will fit inside the circle? Draw five radii inside your circle that are equally spaced out around the circumference. Join up the ends of the radii to create a shape inside your circle. What is the name of the shape that you have created inside your circle? How big is the angle of each sector?