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circles of radii vs circle of radius

Both phrases are correct, but they are used in different contexts. 'Circles of radii' is used when referring to multiple circles with different radii, while 'circle of radius' is used when referring to a single circle with a specific radius.

Last updated: March 25, 2024 • 837 views

This phrase is correct and commonly used when referring to multiple circles with different radii.

"circles of radii"

This phrase is used when discussing a group of circles, each with its own radius. It emphasizes the variety of radii among the circles.

Examples:

  • The circles of radii 3, 5, and 7 units are drawn on the graph.
  • The problem involves analyzing circles of radii ranging from 2 to 10 centimeters.
  • The characteristics of motion should be modelled properly to the actual ship, paying particular attention to scaling of radii of gyration in roll and pitch motions.
  • inclining experiment and measurements of radii of gyration;
  • By the circle of Peter Paul Rubens.
  • You must not break our circle of friendship.
  • The circle of life is complete.
  • Circle of life, babe, circle of life.
  • The circle of life. The circle of Mufasa's mask.
  • Two scenarios lie ahead: a vicious circle of divisions, confrontations and mistrust; or a virtuous circle of serious, rigorous, yet unambiguous negotiation.
  • He says I keep stepping outside my circle of responsibility.
  • It's like the circle of life.
  • Obviously this is in our little circle of two.
  • You want to build a circle of Balcoin witches.
  • The circle of life, I guess.
  • And he surrounds her... in a circle of hellfire.
  • It's the Circle of Life; nothing is more beautiful.
  • It sucks, but it's the disgusting circle of life.
  • Prayer circle of love and commitment?
  • The aggrieved may enter the circle of vengeance.
  • The circle of suspicion grows smaller.
  • It's the circle of life, Simba.

Alternatives:

  • circles with different radii
  • circles having various radii
  • circles with varying radii
  • circles of different radii
  • circles with diverse radii

This phrase is correct and commonly used when referring to a single circle with a specific radius.

"circle of radius"

This phrase is used when discussing a single circle and specifying its radius. It is a concise way to describe a circle with a particular size.

Examples:

  • Draw a circle of radius 5 centimeters on the paper.
  • The circle of radius 10 units is centered at the origin.
  • Suddenly the bus makes a sharp turn, following part of a circle of radius r.
  • Perhaps the best-known graph of this kind is a circle of radius R, whose equation is
  • Then the section cut by the angle a from the circle of radius R around E is not AB but AF (second drawing), which is smaller.
  • Of white cardboard cut out a circle of radius of about 5 cm Cardboard circle divided into several sectors.
  • Area comprising that part of the counties of Oxfordshire and Warwickshire on the boundary of and within a circle of radius 10,215 kilometres, centred on grid reference SP3641242196 [2].
  • For example, a circle of radius R has a constant curvature of 1/R. The length of the circumference of the circle is 2πR so the integral of curvature around the circle is (1/R)2πR which is 2π.
  • The graph in that neighborhood therefore resembles the section of a circle of radius a, whose equation
  • In exactly the same way you can show that near the y-axis, where x is small, the graph cuts the axis at y=±b and its shape there resembles that of a circle of radius b.
  • For spaces of holomorphic functions on the open unit disk, the Hardy space H2 consists of the functions f whose mean square value on the circle of radius r remains bounded as r -> 1 from below.
  • Take one of those nine space dimensions and make it a circle of radius R, so that traveling in that direction for a distance L = 2πR takes you around the circle and brings you back to where you started.
  • The orbital ellipse is enclosed in a circle of radius a, and given a position P of the satellite, a corresponding point Q on the circle can be drawn, sharing the same line perpendicular to the ellipse's axis.
  • Torricelli's demonstration is based on the "Fifth lemma": the surface area of the side of each "inscribed cylinder", such as, for example, GIHL, is equal to the "circle of radius DF" (fig. 3).
  • For example, the parametric equations for a circle of radius r centered at the origin are:
  • Going westwards 0,5 kilometres, then going northwestwards until initial point; supplemented with the parts of Mórahalom and Kistelek districts of Csongrád county contained within a circle of radius of three kilometres, centred on GPS coordinates N46,419599, E19,858897; N46,393889
  • They knew that the length of a circle of radius r was 2πr, where π (a modern notation, not one of the Greeks, even though π is part of their alphabet) stands for a number a little larger than 3, approximately
  • Perhaps the best-known graph of this kind is a circle of radius R, whose equation is x2 + y2 = R2 Draw a circle of radius R centered at the origin O of a system of (x, y) axes.
  • On the sky, the four galaxies are all within a circle of radius of 1.6 arcmin, corresponding to about 75,000 light-years.
  • As we all know, the area of a circle of radius $R$ equals $\pi R^2$.
  • The center of the lower side is provided with a tip formed by two arcs of a circle of radius also of the middle module.
  • A small part of the periphery within a circle of radius 10 km from the second outbreak, north of the town.

Alternatives:

  • a circle with a radius
  • a circle having a radius
  • a circle with a specific radius
  • a circle of a certain radius
  • a circle with a defined radius

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