Geometry in CitrusesBy 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 central angles of the lime are the same degrees as their arcs.

The sum of all the central angles in a lime is equal to 360.

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 other edge.

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.

#1

#2

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

MAJOR ARC

Semicircle

Picture SourcesAll of the pictures used to

create my project are clipart images.