M. 2. 4.- Calculate geometric quantities

Length

The measurement of something from end to end

length, area, volume

What are the geometric quantities

Irregular

Shape in which not all sides and angles are equal

Length

Geometric quantity that is measured with a tool such as ruler or tape measure

Linear unit

Used to measure length

Inches(in), feet(ft), yards(yd), and miles(mi)

What are the US customaries of length

Millimeters(mm), centimeters(cm), meters(m), and kilometers(km)

What are the metric customaries of length

Perimeter

The distance around a two-dimensional/entire shape

Perimeter

The sum of the individual lengths of the parts of the shape going around the shape once

Perimeter

To find this of a complex shape, simply add the lengths of all sides together and add or subtract in order to find the missing sides. Lastly, add all the sides together to get this

Arcs

Curved figures include circles or this(part of circumference of a circle-incomplete circles

Circumference

Distance around a circle

C=2(3.14)r or (3.14)d

Circumference of a circle formula

Length= central angle/360 x 2πr

Arc of a circle formula

C=(3.14)r

Length of a semicircle

Area

How much surface space something takes up for a two-dimensional space/Measured in square units such as square inches(in2), square feet(ft2), square miles(mi2), and square meters(m2)

Surface area

The total area of a three-dimensional object's surface

Area of a square

A=s²

Area of a rectangle

A=lw

Area of a triangle

A=1/2bh

Area of a parallelogram

A=bh

Area of a trapezoid

A=1/2h(b1+b2)

Area of circle

A=πr²

Area of a rhombus

A=1/2d1d2

Volume

How much space a three-dimensional object takes up or the space within a hollow container/capacity. It is measured in cubic units including cubic inches(3), cubic centimeters(cm3), millimeters(mL), and fluid ounces(fl. oz).

Volume formula for a rectangular prism

V=lwh

Volume formula for a triangular prism

V=(1/2bh)h

Volume for a cylinder

V = π r²h

Volume formula for a cone

V = 1/3πr²h

Volume formula for a rectangular pyramid

V=1/3lwh

Volume formula for a sphere

4/3πr^3

Square units

Units used to measure area. One square unit is the area of a square with sides that measure 1 unit

Reciprocal

One divided by the original number; or for a nonzero fraction a/b= b/a. The product of the number and this is 1

Subtend

Form an angle at a particular point on an arc