Geometric Measurements

Perimeter: the distance around a polygon.

Area: how much space a 2-dimensional shape takes up on a plane

Volume: how much space a 3-dimensional shape takes up.

Circumference: the area around a circle

Circle: a figure that has all of its lines the same distance from its center point

Diameter: the distance through a circle that passes through the center point of the circle

Radius: a line that connects the outside of a circle to its center point

Pi: the ratio of circumference to diameter, it is irrational and mostly commonly approximated by 3.14 (22/7 is close to it, but not exactly Pi)

Prism: a 3d shape with 2 congruent polygon bases, and all other sides are parallelograms. It is classified by the type of bases that is has (rectangular prism, triangular prism)

Cylinder: a 3d shape that has 2 congruent circular bases that are connected by straight lines

Formulas

2D:

Circle-

• Circumference=Pi*Diameter (or Pi*Radius*2)
• Diameter=2*Radius
• Area=Pi*Radius*Radius

Parallelogram-

• Area=Length*Width

Trapezoid-

• Area=(Length+Length/2)*Width

Triangle-

• Area=Length*Width/2

3D:

Prism-

• Volume=Length*Width*Height

Cylinder-

• Volume=Pi*Radius*Radius*Height