radius

/'reidjəs/
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radius

A teacher draws a circle and labels its radius on the chalkboard.

Definition
  1. Noun:
    • A straight line segment from the center to the circumference of a circle or sphere: This is the primary geometric meaning, referring to the line itself.
    • The length of such a line segment: This refers to the measurement or distance.
    • A circular area defined by a given distance from a central point: This extends the geometric concept to describe a region or range.
    • A radiating line or structure: This refers to a part resembling a spoke, such as in a wheel or a body part.
    • A bone in the forearm: In anatomy, it is the shorter of the two bones in the human forearm, on the thumb side.
Usage Examples
  • Geometric Line/Length:
    • Draw a circle with a radius of 5 centimeters.
    • The radius of the Earth is approximately 6,371 kilometers.
  • Circular Area:
    • The search for the missing hiker focused on a ten-mile radius around the trailhead.
    • Most of our customers live within a small radius of the store.
  • Radiating Structure:
    • The bicycle wheel has 36 spokes, each a radius connecting the hub to the rim.
  • Anatomy:
    • He fractured his radius in a skiing accident.
Advanced Usage
  • "Within a radius of": Used to specify the extent of a circular area from a central point.
    • The explosion damaged buildings within a radius of 500 meters.
  • "Radius of action/curvature": Technical terms used in physics, engineering, and military planning.
    • The fighter jet's radius of action limits how far it can fly on a mission.
    • A tighter radius of curvature makes a road more dangerous at high speeds.
Variants and Related Words
  • Radii (n): The standard plural form of "radius."
    • The data points are located at different radii from the center.
  • Radial (adj): Relating to, arranged like, or moving along a radius or ray.
    • The city has a radial street pattern extending from the central square.
  • Radial (n): A radial tire or a radial part.
Synonyms
  • Semidiameter: (Technical) Half the diameter; synonymous with the length meaning of radius.
  • Range: Similar to the "circular area" meaning, indicating a sphere of action or influence.
  • Reach: Similar to "range," indicating the distance something can cover.
  • Spoke: Similar to the "radiating structure" meaning in the context of a wheel.
Related Phrases
  • Radius vector: (Mathematics/Physics) A line from a fixed origin to a point, especially in polar coordinates.
  • Atomic radius: (Chemistry) A measure of the size of an atom.
  • Turning radius: (Engineering) The minimum space needed for a vehicle to make a circular turn.
radius

A teacher draws a circle and labels its radius on the chalkboard.

Noun
  1. support consisting of a radial member of a wheel joining the hub to the rim
  2. the outer and slightly shorter of the two bones of the human forearm
  3. a circular region whose area is indicated by the length of its radius
    • they located it within a radius of 2 miles
  4. a straight line from the center to the perimeter of a circle (or from the center to the surface of a sphere)
  5. the length of a line segment between the center and circumference of a circle or sphere