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How to find the chord length of a curve with radius and 2 bearings given?
Wiki User
∙ 10y ago
Suppose the radius is r and the bearings of the two points, P and Q are p and q respectively.
Then
the coordinates of P are [r*cos(p), r*sin(p)] and
the coordinates of Q are [r*cos(q), r*sin(q)].
The distance between these two points can be found, using Pythagoras:
d2 = (xq - xp)2 + (yq - yp)2
where xp is the x-coordinate of P, etc.
Wiki User
∙ 10y ago
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Is circumference a chord?
Not at all! The circumference is the length of the boundary of a circle. A chord is a straight line(or a line segment) that passes through two points on the boundary of a circle (or on a curve).
A Koch curve has length?
A Koch curve has INFINITE length.
What is the radius of curvature?
The radius of curvature of a circle, or an arc of a circle is the same as the radius of the circle.For a curve (other than a circle) the radius of curvature at a given point is obtained by finding a circular arc that best fits the curve around that point. The radius of that arc is the radius of curvature for the curve at that point.The radius of curvature for a straight line is infinite.
What does chord means in math terms?
A chord is a line segment between two points on a given curve. Basically it's two points that are connected with a line which all happens to be on a curve. Most likely a circle
What is meant by tangent to a curve at a point?
It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.
Formula of radious given curve length and chord length?
R = radius c = chord length s = curve length c = 2Rsin(s/2R) you can solve for radius by trial and error as this is a transcendental equation
Is a point the chord of a circle?
No, it is not. A chord is a line segment. It cannot have a length of zero. A point has no dimensions. The chord of a circle is a line segment that has its endpoints (both of them) on the curve (or circumference) of the circle.
How get degree of curvature?
The degree of curvature measures how much a curve deviates from a straight line. It is commonly used in mathematics, engineering, and surveying. Two common methods are the circular curve method and differential geometry. The circular curve method determines the degree of curvature by measuring the central angle subtended by a 100-foot arc along the curve. The differential geometry approach calculates the curvature at each point on the curve and integrates these values to find the total degree of curvature. The specific method used depends on the field and context. Consult relevant resources or experts for detailed instructions.
Is circumference a chord?
Not at all! The circumference is the length of the boundary of a circle. A chord is a straight line(or a line segment) that passes through two points on the boundary of a circle (or on a curve).
How do you find the surface area of a shoe?
Treat the sole as a rectangle. measure length and width. If there is a curve, estimate center of curvature. measure radius. measure length of curve in arc lengths. Determine number of radians. use formula for cylinder, replacing 2 (pi) with number of radians. Subtract length of shoe by the length of curve in the sole. Calculate area
What is the difference between an arc and a chord?
If you take two distinct points on a curve, the arc is the part of the curve connecting the two points while the chord is the straight line connecting them.
Is a straight line a curve?
Technically yes; a curve with infinite radius.Technically yes; a curve with infinite radius.Technically yes; a curve with infinite radius.Technically yes; a curve with infinite radius.
A Koch curve has length?
A Koch curve has INFINITE length.
How do you find the radius of an arc using only the rise and arc length?
1. Chord length and rise: Three points determine a circle, so if you measure the distance between two points on the circle, then go perpendicular to that line from the center of the line and measure the distance to the third point on the circle, you can calculate the radius. If the first distance is 2*a (divide it by 2 to get a), and the second distance is b, the rise of the arc 2*a Then the radius is r = (a^2 + b^2)/(2b). - Pythagoras Theorem I calculated this by putting the intersection of the chord and line at (0,0) and plotting your three points as, (-a, 0), (a, 0), and (0, b). And then plugging those into the general form of the equation for a circle, namely (x - h)^2 + (y - k)^2 = r^2. I got h = 0, k = (b^2 - a^2)/(2b), and r = (a^2 + b^2)/(2b). You could use this technique. If you don't have the length a (or 2a) but you have the length of the curved side (arc length, say c) (This is what you asked - Radius from Arc length and rise) then you have a much harder equation to solve for r: 2br = (sin [c/(2r)])^2 + b^2. But be warned that these computations assume that your curve is a portion of a circle. If it is some other curve, then there is no radius.
What is the radius of curvature?
The radius of curvature of a circle, or an arc of a circle is the same as the radius of the circle.For a curve (other than a circle) the radius of curvature at a given point is obtained by finding a circular arc that best fits the curve around that point. The radius of that arc is the radius of curvature for the curve at that point.The radius of curvature for a straight line is infinite.
What is the raduis of a curve?
The question, as stated, does not make sense.The radius (not raduis) of curvature of a curve at a point is the radius of the arc of a circle which approximates the curve in the immediate vicinity of the point.
What is it called when a line goes halfway across a circle?
The radius of a circle is one half of the circle's diameter, any line going from the center of the circle to the circle itself. A line connecting other points on a circle (or on any curve) is called a chord.
