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Area of
 Circles
and Parts
of Circles
Radius
• The radius of a circle is from the center
  to the outer edge of the circle.
• The radius is one half of the diameter
  as shown here.

                                 r
Diameter
• The diameter goes         A
  from one edge of
  the circle to the
                            C       D
  other.
• The diameters is
  twice the radius or           B
  r2.                   m CD = 2.17 cm
• AB
Pi π

• Pi is ≈   3.14
• Pi is represented by the symbol
 π
Parts of a circle
    A       In circle O,
            OB is a radius

O           AC is a diameter
        B


C
Parts of a circle
    A       The distance
            around circle O
            is called the
O           circumference of
        B   the circle. It is
            similar to the
            perimeter of a
C           polygon.
The number      π
         A
              The ratio of the
              circumference of
     O        a circle to its diameter
              is the number π.

             m CA = 5.8982 cm
      C
Circumference OB = 18.5299 cm
(Circumference OB)
                   = 3.1416
        m CA
Finding the Circumference
          Since we know
  d       that C/d = π we
          can solve for C.
   r
              C
          (d ) = π(d)
              d
Therefore: C = π d or
             C = 2π r
Practice
Finding the Circumference
           d = 46 cm
    d      Find the
    r      circumference.

          C = 46π cm or
          144.51 cm
Practice
Finding the Circumference
           d = 2.8 m
    d      Find the
    r      circumference.

          C = 2.8π m or
          8.80 m
Practice
Finding the Circumference
           r = 18 cm
    d      Find the
    r      circumference.

          C = 36π cm or
          113.10 cm
Finding the area of a circle
            The area of a
            circle is found
      r
            using the formula
            A = πr2
Practice
 Finding the area of a circle
    A            A = πr2
    C       D
                 A = π(2.17)2
                 A = 4.7089π cm     2
        B
                 or 14.79 cm    2
m CD = 2.17 cm
Practice
Finding the area of a circle
    A
                 A = πr2
    C       D    A = π(5.19/2)2
                 A = 6.734π cm2
       B
m AB = 5.19 cm   or 21.16 cm2
Circles

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Circles

  • 1. Area of Circles and Parts of Circles
  • 2. Radius • The radius of a circle is from the center to the outer edge of the circle. • The radius is one half of the diameter as shown here. r
  • 3. Diameter • The diameter goes A from one edge of the circle to the C D other. • The diameters is twice the radius or B r2. m CD = 2.17 cm • AB
  • 4. Pi π • Pi is ≈ 3.14 • Pi is represented by the symbol π
  • 5. Parts of a circle A In circle O, OB is a radius O AC is a diameter B C
  • 6. Parts of a circle A The distance around circle O is called the O circumference of B the circle. It is similar to the perimeter of a C polygon.
  • 7. The number π A The ratio of the circumference of O a circle to its diameter is the number π. m CA = 5.8982 cm C Circumference OB = 18.5299 cm (Circumference OB) = 3.1416 m CA
  • 8. Finding the Circumference Since we know d that C/d = π we can solve for C. r C (d ) = π(d) d Therefore: C = π d or C = 2π r
  • 9. Practice Finding the Circumference d = 46 cm d Find the r circumference. C = 46π cm or 144.51 cm
  • 10. Practice Finding the Circumference d = 2.8 m d Find the r circumference. C = 2.8π m or 8.80 m
  • 11. Practice Finding the Circumference r = 18 cm d Find the r circumference. C = 36π cm or 113.10 cm
  • 12. Finding the area of a circle The area of a circle is found r using the formula A = πr2
  • 13. Practice Finding the area of a circle A A = πr2 C D A = π(2.17)2 A = 4.7089π cm 2 B or 14.79 cm 2 m CD = 2.17 cm
  • 14. Practice Finding the area of a circle A A = πr2 C D A = π(5.19/2)2 A = 6.734π cm2 B m AB = 5.19 cm or 21.16 cm2