- When a citrus fruit like a lime is cut in half, it creates two congruent circles with the same radii, diameters, circumferences, and areas. - Each circle contains 9 central angles that add up to 360 degrees and are equal in measure to their corresponding arcs. - A lemon slice can have two different circumferences depending on whether the diameter is measured from the outside edge or inside edge of the peel through the center. - A lime can be cut into two semicircles with arcs of 180 degrees each or into minor and major arcs.

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

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