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Chord constant = ((A x B)/2)x1000 Radius = chord constant/versine So a 10m chord versine measured at 5m: ((5x5)/2)x1000 = CC 12.5x1000= 12500 CC/V = r 12500/30 = 416

Q: How do you get radius given the versine and length of cord?

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The radius is a cord, is it not?

The longest chord in a circle is its diameter and halve of this is its radius.

s=arc lengthr=radiusAnswer: (r^2).(asin(s/(2r))-(s/16).sqrt(4r^2-s^2)

r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2

-- Take the information you're given, such as, for example, the circle's radius or diameter, and the distance from the center of the circle to the chord's midpoint. -- Jot down a few things you know about circles and right triangles, such as the relationship between the radius, diameter, and circumference of a circle, and the Pythagorean Theorem. -- Use what you're given, combined with what you know from your studies and your general knowledge, to calculate what is required.

Related questions

The radius is a cord, is it not?

The longest chord in a circle is its diameter and halve of this is its radius.

s=arc lengthr=radiusAnswer: (r^2).(asin(s/(2r))-(s/16).sqrt(4r^2-s^2)

r = known radius x = known arc length --------------------------- C (circumference of circle) = 2 * PI * r A (angle of chord in degrees) = x / C * 360 L (length of chord) = r * sin(A/2) * 2

-- Take the information you're given, such as, for example, the circle's radius or diameter, and the distance from the center of the circle to the chord's midpoint. -- Jot down a few things you know about circles and right triangles, such as the relationship between the radius, diameter, and circumference of a circle, and the Pythagorean Theorem. -- Use what you're given, combined with what you know from your studies and your general knowledge, to calculate what is required.

Easiest way to find the length of a cord: (enter in scientific calculator as shown below) x=2 squareroot(h(2*r-h)) Where: x is the answer or the endpoint of the cord where it would meet the radius. h is height or the amount of flat you want from the top of the radius. r is the radius. So: Say we have a round bar which is 90mm radius (180mm diameter). We want to machine a flat on the bar 40mm deep from the outer edge but need to know the distance where the edge of the flat meets the radius. x=2 squareroot(40(2*90-40)) x=74.833mm This calculation is useful to find any point at which the cord will intersect the radius/diameter. -------------------------------------------------------------------------------------------------------------- You mean the highest point in the segment formed by a cord, or, how much do you shave off a circle to get a flat of a known length? R = circle radius r = 1/2 cord length H = height of segment Square 'r', or multiply 'r' by itself Square 'R' and subtract value of your 'r squared' Find 'square root' of this remainder. Use calculator key or test multiply to find a close factor. Subtract this factor from "R" and the result is "H"

Assume that the height of the segment is h, the chord length is c and the radius is r then: r2=(r-h)2+(c/2)2 (We join two radii to the two ends of the chord then extend the height of the segment to the center of the circle in which the segment is inscribed so this height will bisect the chord and you use the pythagorean theorem to find the radius)

7cm

Normal length of an umbilical cord can range from a couple feet in length to less than one foot, it all depends on the particular pregnancy.

45 cm

A full cord is 4fthigh x 4ftwide x8ft in lengthA face cord is 4fthigh x 8ft in length and it's width is the length of the wood pieces (usually 16-18 inches)

The Norelco Reflex 7310 XL shaver is a cordless razor,so the cord has zero length.