area

Education

(noun)

The extent or measurement of a surface.

Related Terms

  • array
Algebra

(noun)

The interior surface of a circle, given by $A = \pi r^2$.

Related Terms

  • diameter
  • circle
  • radius
Calculus

(noun)

a measure of the extent of a surface measured in square units

Related Terms

  • curve
  • axis

Examples of area in the following topics:

  • Areas to the Left and Right of x

    • The arrow in the graph below points to the area to the left of x.
    • This area is represented by the probability P ( X < x ) .
    • The area to the right is then P ( X > x ) = 1 − P ( X < x ) .
    • Remember, P ( X < x ) = Area to the left of the vertical line through x.
    • Area to the right of the vertical line through x
  • Human Language and the Brain

    • The human brain has a few areas that are specific to language processing and production.
    • Damage to this area results in receptive aphasia (also called Wernicke's aphasia).
    • This diagram shows the areas of the brain associated with languages.
    • The areas of the brain necessary for language.
    • The areas of the brain necessary for processing language: Broca's area, Wernicke's area, the primary motor cortex, the posterior middle temporal gyrus, and the middle and posterior superior temporal gyrus.
  • Areas Under Normal Distributions

    • Use the normal calculator to calculate an area for a given X"
    • Use the normal calculator to calculate X for a given area
    • Areas under portions of a normal distribution can be computed by using calculus.
    • The shaded area between 40 and 60 contains 68% of the distribution.
    • The shaded area contains 95% of the area and extends from 55.4 to 94.6.
  • U.S. Urban Patterns

    • Census Bureau classifies areas as urban or rural based on population size and density.
    • The Census Bureau defines "urban areas" as areas with a population density of at least 1,000 people per square mile and at least 2,500 total people.
    • Urban areas are delineated without regard to political boundaries.
    • Combined, these areas occupy about 2% of the land area of the United States.
    • In the United States, the largest urban area is New York City, with over 8 million people within the city limits and over 19 million in the urban area.
  • Association Areas

    • Language abilities are localized in the left hemisphere in Broca's area for language expression and Wernicke's area for language reception.
    • The association areas are organized as distributed networks, and each network connects areas distributed across widely spaced regions of the cortex.
    • The association areas integrate information from different receptors or sensory areas and relate the information to past experiences.
    • Then the brain makes a decision and sends nerve impulses to the motor areas to elicit responses.
    • Locations of brain areas historically associated with language processing.
  • Your Areas of Expertise

    • When selecting a topic consider areas in which you have expertise.
    • When trying to select a topic for your speech consider any areas in which you are an expert.
    • Your area of expertise might be a good topic to give a speech about because you already possess a familiarity with it.
    • Considering your own areas of expertise can be a way of generating a speech topic.
    • Explain why choosing a topic in an area in which you are an expert is a good option
  • Motor Areas

    • The motor areas, arranged like a pair of headphones across both cortex hemispheres, are involved in the control of voluntary movements.
    • The motor areas of the brain are located in both hemispheres of the cortex.
    • The motor areas are very closely related to the control of voluntary movements, especially fine movements performed by the hand.
    • The right half of the motor area controls the left side of the body, and the left half of the motor area controls the right side of the body.
    • The basal nuclei receive input from the substantia nigra of the midbrain and motor areas of the cerebral cortex and send signals back to both of these locations.
  • Area Expansion

    • That is, their areas and volumes, as well as their lengths, increase with temperature.
    • The area thermal expansion coefficient relates the change in a material's area dimensions to a change in temperature.
    • It is the fractional change in area per degree of temperature change.
    • (a) Area increases because both length and width increase.
    • The area of a circular plug also increases.
  • Area Between Curves

    • Area is a quantity that expresses the extent of a two-dimensional surface or shape, or planar lamina, in the plane.
    • Find the area between the two curves $f(x)=x$ and $f(x)= 0.5 \cdot x^2$ over the interval from $x=0$ to $x=2$.
    • Since $x > 0.5 \cdot x^2$ over the interval from $x=0$ to $x=2$, the area can be calculated as follows:
    • The area between two graphs can be evaluated by calculating the difference between the integrals of the two functions.
    • Evaluate the area between two functions using a difference of definite integrals
  • Summary of Formulas

    • The area to the left: P ( X < x )
    • The area to the right: P ( X > x ) = 1 − P ( X < x )
Subjects
  • Accounting
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  • Microbiology
  • Physics
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  • Political Science
  • Psychology
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  • Statistics
  • U.S. History
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