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www.thatmathlady.com © 2012
WHAT IS A CIRCLE?
By That Math Lady
THE DEFINITION
   A circle is a round, two-dimensional shape. It has a
    middle point (center). All of the points that make the




                                                             www.thatmathlady.com © 2012
    curved line of the shape are equidistant from that
    point.
       Equidistant means “having an equal distance”
www.thatmathlady.com © 2012
WE SEE CIRCLES EVERYDAY…
                     …when we tell
                            time!


           …when we use
           money!

                                     …when we go for
                                     a ride!
               …when we go on
               a vacation!
HOW DO YOU DRAW A CIRCLE?
   Use a math compass:




                            www.thatmathlady.com © 2012
LINES INSIDE A CIRCLE
   There are many lines inside a circle.
   Any line that touches two points on the circle is called a
    chord.




                                                                 www.thatmathlady.com © 2012
   Any line that touches two points on the circle and goes
    directly through the center is called a diameter.
   Any line that begins at the center and touches one point
    on the circle is the radius. The radius is one-half the
    length of the diameter.
                                              radius


                  diameter



                                             chord
CIRCLE MEASUREMENTS: CIRCUMFERENCE
   We use the diameter and radius to measure the area
    and circumference of a circle.
   The circumference is the distance around a circle. (You




                                                                      www.thatmathlady.com © 2012
    may think of this as the circle’s perimeter.)
   To measure the circumference, multiply the diameter by
    the number, π (Pi).
       π is equal to 3.14159265... We commonly use 3.14 to find an
        estimate answer.


            Example:
       circumference = dπ
           dπ = 2(3.14)
     circumference = 6.28 cm
CIRCLE MEASUREMENTS: AREA
 To find the area of a circle, you must know the
  radius or the diameter of the circle.




                                                                 www.thatmathlady.com © 2012
 If you know the diameter, divide that number by 2
  (this will give you the radius).
 Area = πr²

                                                 Example:
                                                 area = πr²
                                              πr² = (3.14)(3)²
                                              area = 3.14(9)
                              Radius = 3 ft   area = 28.26 ft²


        There are 28.26
        squares inside this
        circle!
www.thatmathlady.com © 2012
                                                   sector
MORE CIRCLE PARTS…
WHAT DID YOU LEARN ABOUT CIRCLES?




                                    www.thatmathlady.com © 2012

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What is a circle?

  • 1. www.thatmathlady.com © 2012 WHAT IS A CIRCLE? By That Math Lady
  • 2. THE DEFINITION  A circle is a round, two-dimensional shape. It has a middle point (center). All of the points that make the www.thatmathlady.com © 2012 curved line of the shape are equidistant from that point.  Equidistant means “having an equal distance”
  • 3. www.thatmathlady.com © 2012 WE SEE CIRCLES EVERYDAY… …when we tell time! …when we use money! …when we go for a ride! …when we go on a vacation!
  • 4. HOW DO YOU DRAW A CIRCLE?  Use a math compass: www.thatmathlady.com © 2012
  • 5. LINES INSIDE A CIRCLE  There are many lines inside a circle.  Any line that touches two points on the circle is called a chord. www.thatmathlady.com © 2012  Any line that touches two points on the circle and goes directly through the center is called a diameter.  Any line that begins at the center and touches one point on the circle is the radius. The radius is one-half the length of the diameter. radius diameter chord
  • 6. CIRCLE MEASUREMENTS: CIRCUMFERENCE  We use the diameter and radius to measure the area and circumference of a circle.  The circumference is the distance around a circle. (You www.thatmathlady.com © 2012 may think of this as the circle’s perimeter.)  To measure the circumference, multiply the diameter by the number, π (Pi).  π is equal to 3.14159265... We commonly use 3.14 to find an estimate answer. Example: circumference = dπ dπ = 2(3.14) circumference = 6.28 cm
  • 7. CIRCLE MEASUREMENTS: AREA  To find the area of a circle, you must know the radius or the diameter of the circle. www.thatmathlady.com © 2012  If you know the diameter, divide that number by 2 (this will give you the radius).  Area = πr² Example: area = πr² πr² = (3.14)(3)² area = 3.14(9) Radius = 3 ft area = 28.26 ft² There are 28.26 squares inside this circle!
  • 8. www.thatmathlady.com © 2012 sector MORE CIRCLE PARTS…
  • 9. WHAT DID YOU LEARN ABOUT CIRCLES? www.thatmathlady.com © 2012