2016年1月2日 · Diameter is the longest line that you can draw in a circle passing through the centre of the circle. Radius is the line joining the centre of the circle to any point on the circumference. Diameter is the ratio of the circumference of the circle to the irrational constant 'pi' (3.1415...). Radius is the half of the diameter. D = 2 xx radius" and " radius = D/2 Actually pi is …

2020年8月9日 · Define the diameter of a graph G—denoted diam G—to be the length of a longest path in G between two different vertices. For a given vertex v, there is a maximum length of of the non-closed paths with initial vertex v, and we define the radius of G to be the smallest of these maximum lengths. More compactly: Gerstein, Larry J..

2015年9月21日 · The radius is equal to one half of the diameter of a circle and measures the distance from the center of the circle to the edge of the circle. By rearranging the above equation, we see that the constant pi can be defined by: pi = C / (2 * r) And since the radius is equal to half of the diameter, we can write. pi = C / d. Where d = diameter of ...

2016年7月21日 · Then, having defined circles using the radius, it becomes convenient to also define the radian measure of angles in terms of the radius of a circle. One radian is the measure of an angle subtended at the centre of a circle by an arc length equal to the radius.

if you assume that $\pi$ is the ratio of the diameter of the circle to the circumference, then you can divide the circumference, say, into $1000$ points at equal distance. now join each of these segments to the center to make a small pie. arrange the pieces so that they make an almost rectangle of length $\pi \times \text {radius}$ and width the radius of the circle. the area of this …

$\begingroup$ In general, finding radius, diameter, eccentricity, etc is more or less a computational problem. You're probably better off with a computer algorithm when finding these parameters for larger graphs.

Eccentricity, radius and diameter as defined in "Graph Theory and Complex Networks: An Introduction" (van Steen, 2010): Consider a connected graph G and let d(u,v) denote the distance between vertices u and v. The eccentricity e(u) of a vertex u in G is defined as max{d(u,v)|v € V(G)}. The radius rad(G) is equal to min{e(u)|u € V(G)}.

2021年1月7日 · $\begingroup$ @DaviedZuhraph diameter and radius are defined in terms of the graph distance - no weights involved. $\endgroup$ – Especially Lime Commented Jan 7, 2021 at 20:18

2019年9月2日 · You started out with a cycle of length $8$, then what specifically would you do to it to push the diameter to $6$ while keeping the radius at $4$? $\endgroup$ – user694818 Commented Sep 2, 2019 at 22:41

2014年3月28日 · You cannot complete a parabolic dish into a sphere, the same way you can't complete a parabola into a circle. They are different objects. For this reason, “radius” in the sense used for spheres isn't applicable in your case. What you can do, to get an idea of your shape, is to consider the 2D parabola that matches most of your measurements.