Draw the circle O, and the chord AB. From the center, draw the radius OC which passes though the midpoint, D, of AB. Since the radius OC bisects the chord AB, it is perpendicular to AB. So that CD is the required height, whose length equals to the difference of the length of the radius OC and the length of its part OD.
Draw the radius OA and OB. So that OD is the median and the height of the isosceles triangle AOB, whose length equals to √(r2 - AB2/4) (by the Pythagorean theorem). Thus, the length of CD equals to r - √(r2 - AB2/4).
double the length
The volume of a cone is 1/3 pi times the radius squared times the height. When given the volume and height divide both sides by the height. Volume divided by height is equal to 1/3 times pi times the radius squared. Now divide both sides by 1/3 pi. This will leave you with the radius squared. Take the square root of both sides and you will get the radius.
You really should know how to answer that question.Volume = (length) x (width) x (height) .Length = (volume) / (width x height)Width = (volume) / (length x height)Height = (volume) / (length x width)
The volume of a cylinder, V, is given by the formula:V = pi*r^2*h where r is the radius and h is the height of the cylinder. It is necessary to know both the radius and the height before you can determine the volume.
By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.
if you are given the circle's "height" then that is the diameter. the diameter is twice the length of the radius, so divide the height by two and you will get the radius.
Given an arc or segment with known width and height, the formula for the radius of a circle is:r = (H÷2) + (W2÷8H)Where: W is the length of the chord defining the base of the arc and H is the height measured at the midpoint of the arc's base
double the length
Can not be done without the 'Given' radius and height.
If you are given a chord length of a circle, unless you are given more information about the chord, you can not determine what the radius of the circle will be. This is because the chord length in a circle can vary from a length of (essentially) 0, up to a length of double the radius (the diameter). The best you can say about the radius if given the chord length, is that the length of the radius is at least as long has half half the chord length.
The answer will depend on the orientation of the shape. If the arc length is less than pi*radius, and the shape is like the silhouette of an ice cream cone, then the height equals the radius. If the arc length is greater than pi*radius and the shape is with the gap on the side (like a Pacman), then the height is 2*radius. Between these two are more complicated answers. But I do not wish to spend time on them without knowing what exactly is wanted.
The radius of a sphere is 1/2 of its height.
The radius of a cylinder given only the height could be anything you like.
radius of curvature = 2Focal length
The radius IS given, since height of hemisphere = radius of hemisphere!
you need to know the formula the arc length is equal to the radius times the angle made by the length of arc s = r(theta) s=arc length r=radius theta=angle
Not enough information. For a given radius, the height might be anything.