Name ________________________________              Date _____________________
Mrs. Labuski & Mrs. Rooney Period _____            Lesson 10-5 Circle

VOCABULARY                    DEFINITION                          EXAMPLE
                     Set of all points in a plane
                                                                     A
                     that are the same distance
    CIRCLE
                   from a given point called the
                                center.
                     The center is the name of                    Circle A
                              the circle
                      A line segment with one
    RADIUS          endpoint at the center of the
     (radii)       circle and the other endpoint
                             on the circle
                     A line segment that passes
  DIAMETER
                      through the center of the
                         circle and has both
                       endpoints on the circle
                      A line segment that does
    CHORD
                   NOT pass through the center
                      of the circle but has both
                       endpoints on the circle
Use the picture on the right to answer the following questions:

1. Name the circle ____Circle X____________________

2. Name the two diameters of the circle.   WY and VZ



3. Name the four radii of the circle. WX (XW), VX (XV), ZX (XZ) ,YX (XY)

4. Name the chord of the circle. YZ
VOCABULARY                    DEFINITION                      EXAMPLE
                           The ratio of the
         PI             circumference to the
         π                   diameter.
                             π = 3.14 or

                        The distance around
CIRCUMFERENCE           the edge of a circle.
                          Formula: C= πd


What does π mean?
     Take the cookie and a licorice lace.
     Measure the distance around the edge (circumference) of the cookie with the
     licorice lace.
     Cut off any extra licorice.
     Now lay the licorice across the diameter of the cookie.
     Cut off any extra licorice.
     Lay the licorice across the diameter of the cookie again.
     Cut off any extra licorice.
     Lay the licorice across the diameter of the cookie again.
     Cut off any extra licorice.

How many pieces do you have? ___________
How many diameters equal one circumference? ___________
How do we represent this ratio between the diameter and the circumference? _____
To find the circumference of a large object, we can use the formula: ____________.
                 Find the diameter and multiply it by π
Let’s try some:
Find the circumference for each circle. Use 3.14 for   π

                                     d=5                 r = 12
                                     r = 2.5             d = 24



           C=πd                                            C=πd
           C = 5π(left in terms of Pi)                     C = 24π(left in terms of Pi)

           C =3.14 x 5                                     C = _3.14 x 24

           C = 15.7 in                                     C = 75.36 m

Find the circumference for each circle. Use    for   π


                                     r = 14                 r = 21
                                     d = 28                 d = 42




           C=πd                                            C=πd
           C = 28π(left in terms of Pi)                    C = 42π(left in terms of Pi)

           C=        x                                     C=       x
                             4                                          6

           C=     x                                        C=       x
              1                                                 1
           C = 22 x 4                                      C = 22 x 6

           C = 88 ft                                       C = 132 yd
Name ________________________________              Date _____________________
Mrs. Labuski & Mrs. Rooney Period _____            Lesson 10-5 Circle

VOCABULARY                   DEFINITION                           EXAMPLE

                                                                    A

    CIRCLE




    RADIUS
     (radii)




  DIAMETER




    CHORD




Use the picture on the right to answer the following questions:

1. Name the circle ________________________

2. Name the two diameters of the circle. _________________

3. Name the four radii of the circle. _____________________

4. Name the chord of the circle._________________________
VOCABULARY                    DEFINITION                      EXAMPLE


         PI
         π



CIRCUMFERENCE




What does π mean?
     Take the cookie and a licorice lace.
     Measure the distance around the edge (circumference) of the cookie with the
     licorice lace.
     Cut off any extra licorice.
     Now lay the licorice across the diameter of the cookie.
     Cut off any extra licorice.
     Lay the licorice across the diameter of the cookie again.
     Cut off any extra licorice.
     Lay the licorice across the diameter of the cookie again.
     Cut off any extra licorice.

How many pieces do you have? ___________
How many diameters equal one circumference? ___________
How do we represent this ratio between the diameter and the circumference? _____
To find the circumference of a large object, we can use the formula: ____________.
                 Find the diameter and multiply it by π
Let’s try some:
Find the circumference for each circle. Use 3.14 for   π




           C=πd                                            C = _______________

           C = _______________                             C = _______________

           C = _______________                             C = _______________



Find the circumference for each circle. Use    for   π




           C=πd                                            C = _______________

           C = _______________                             C = _______________

           C = _______________                             C = _______________

Lesson 10 5 circles

  • 1.
    Name ________________________________ Date _____________________ Mrs. Labuski & Mrs. Rooney Period _____ Lesson 10-5 Circle VOCABULARY DEFINITION EXAMPLE Set of all points in a plane A that are the same distance CIRCLE from a given point called the center. The center is the name of Circle A the circle A line segment with one RADIUS endpoint at the center of the (radii) circle and the other endpoint on the circle A line segment that passes DIAMETER through the center of the circle and has both endpoints on the circle A line segment that does CHORD NOT pass through the center of the circle but has both endpoints on the circle Use the picture on the right to answer the following questions: 1. Name the circle ____Circle X____________________ 2. Name the two diameters of the circle. WY and VZ 3. Name the four radii of the circle. WX (XW), VX (XV), ZX (XZ) ,YX (XY) 4. Name the chord of the circle. YZ
  • 2.
    VOCABULARY DEFINITION EXAMPLE The ratio of the PI circumference to the π diameter. π = 3.14 or The distance around CIRCUMFERENCE the edge of a circle. Formula: C= πd What does π mean? Take the cookie and a licorice lace. Measure the distance around the edge (circumference) of the cookie with the licorice lace. Cut off any extra licorice. Now lay the licorice across the diameter of the cookie. Cut off any extra licorice. Lay the licorice across the diameter of the cookie again. Cut off any extra licorice. Lay the licorice across the diameter of the cookie again. Cut off any extra licorice. How many pieces do you have? ___________ How many diameters equal one circumference? ___________ How do we represent this ratio between the diameter and the circumference? _____ To find the circumference of a large object, we can use the formula: ____________. Find the diameter and multiply it by π
  • 3.
    Let’s try some: Findthe circumference for each circle. Use 3.14 for π d=5 r = 12 r = 2.5 d = 24 C=πd C=πd C = 5π(left in terms of Pi) C = 24π(left in terms of Pi) C =3.14 x 5 C = _3.14 x 24 C = 15.7 in C = 75.36 m Find the circumference for each circle. Use for π r = 14 r = 21 d = 28 d = 42 C=πd C=πd C = 28π(left in terms of Pi) C = 42π(left in terms of Pi) C= x C= x 4 6 C= x C= x 1 1 C = 22 x 4 C = 22 x 6 C = 88 ft C = 132 yd
  • 4.
    Name ________________________________ Date _____________________ Mrs. Labuski & Mrs. Rooney Period _____ Lesson 10-5 Circle VOCABULARY DEFINITION EXAMPLE A CIRCLE RADIUS (radii) DIAMETER CHORD Use the picture on the right to answer the following questions: 1. Name the circle ________________________ 2. Name the two diameters of the circle. _________________ 3. Name the four radii of the circle. _____________________ 4. Name the chord of the circle._________________________
  • 5.
    VOCABULARY DEFINITION EXAMPLE PI π CIRCUMFERENCE What does π mean? Take the cookie and a licorice lace. Measure the distance around the edge (circumference) of the cookie with the licorice lace. Cut off any extra licorice. Now lay the licorice across the diameter of the cookie. Cut off any extra licorice. Lay the licorice across the diameter of the cookie again. Cut off any extra licorice. Lay the licorice across the diameter of the cookie again. Cut off any extra licorice. How many pieces do you have? ___________ How many diameters equal one circumference? ___________ How do we represent this ratio between the diameter and the circumference? _____ To find the circumference of a large object, we can use the formula: ____________. Find the diameter and multiply it by π
  • 6.
    Let’s try some: Findthe circumference for each circle. Use 3.14 for π C=πd C = _______________ C = _______________ C = _______________ C = _______________ C = _______________ Find the circumference for each circle. Use for π C=πd C = _______________ C = _______________ C = _______________ C = _______________ C = _______________