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Geometry in Citruses
            By Brett Alvis
               D2B1
Central Angles
 If you were to cut a
citrus such as a lime in
half, you would create two
circles. (as shown in the
picture)

 There are a total of 9
central angles on each
circle, which go from the
center to the
circumference.
                             The sum of all the central
The central angles of the   angles in a lime is equal to
lime are the same degrees    360.
as their arcs.
Congruent Circles
 If you cut a citrus perfectly in half to create two
circles, then those circles would be congruent, because
they would have the same radii.

 Since the radii of the two circles would be the same
the diameters would be the same as well.

 Congruent circles of a citrus also have the same
circumferences and the same areas.
If you look at the picture
of the lemon slices, you can
see that each slice can have
two different
circumferences.

To find the diameter of
the first circle, you would
measure from the very edge
of the lemon slice, through
the center, and then to the       #1
other edge.
                                  #2
For the diameter of the
smaller circle, you would
need to measure from the
inside of the lemon peel,
through the center, and to
the other side before the peel.

Both circles share the
same center.
Semicircles
 The lime below has an even number of sections,
  so it could be cut in half a 180 angle through the
  diameter, creating two semicircles.
 Both arcs would be 180 as well.
 However, the lime could also be cut into minor arcs
  and major arcs.



                                    minor arc           Semicircle

                   MAJOR ARC
Picture Sources
        All of the pictures used to
       create my project are clipart
                 images.

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Citrus fruits

  • 1. Geometry in Citruses By Brett Alvis D2B1
  • 2. Central Angles  If you were to cut a citrus such as a lime in half, you would create two circles. (as shown in the picture)  There are a total of 9 central angles on each circle, which go from the center to the circumference. The sum of all the central The central angles of the angles in a lime is equal to lime are the same degrees 360. as their arcs.
  • 3. Congruent Circles  If you cut a citrus perfectly in half to create two circles, then those circles would be congruent, because they would have the same radii.  Since the radii of the two circles would be the same the diameters would be the same as well.  Congruent circles of a citrus also have the same circumferences and the same areas.
  • 4. If you look at the picture of the lemon slices, you can see that each slice can have two different circumferences. To find the diameter of the first circle, you would measure from the very edge of the lemon slice, through the center, and then to the #1 other edge. #2 For the diameter of the smaller circle, you would need to measure from the inside of the lemon peel, through the center, and to the other side before the peel. Both circles share the same center.
  • 5. Semicircles  The lime below has an even number of sections, so it could be cut in half a 180 angle through the diameter, creating two semicircles.  Both arcs would be 180 as well.  However, the lime could also be cut into minor arcs and major arcs. minor arc Semicircle MAJOR ARC
  • 6.
  • 7. Picture Sources All of the pictures used to create my project are clipart images.