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You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.

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Q: How do you find arc length when given radius and chord?
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Related questions

How do you find the radius given the chord length?

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.


How do you find a chord length with the central angle and radius given?

If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?


How do you find radius of a circle if cord length is given?

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


How do you Find Arc Length of Segment from Chord Length and Radius?

multiply the chord length and radius and divide by 2


How do you find the chord length with the central angle and radius?

If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?


How do you find the radius of a circle if you know the length of a chord is 4 cm length?

Unless the chord is the diameter, there is no way to measure the radius of the circle. This is because the radius is in no way dependent on chord length since circles have infinite amount of chord lengths.


How do you find the measure of an arc knowing only the chord of arc and radius?

you have a triangle formed by the radius on 2 and the chord on the other. the angle in that triangle that is opposite the chord, find its measure in radians take that measure (in radians) and multiply it by the radius to get the arc length


How do you find the radius of a circle if you know the length of a chord and the shortest distance from the center of the chord to the circle?

Imagine if you will a circle with a chord drawn through it and a line running from the center of that chord to the center of the circle. That line is necessarily perpendicular to the chord. This means you have a right triangle whose hypotenuse is the radius of the circle. The radius is thus given by: r = sqrt{(1/2 chord length)^2 + (length of perpendicular line)^2} The actual formula to find the radius is as follows: r= C squared/8a + a/2, where C is the chord length, and a is the distance from center point of the chord to the circle , and a and C form an angle of 90 degrees. the entire formula before simplification is r = sqrt {(1/2 C)^2 + (r-a)^2}


How do you find a circumference of an arc with basis of its chord length and given height?

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


How do you find radius of curvature if focal length is given?

radius of curvature = 2Focal length


Find chord length with radius and arc length known?

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


A chord of a circle of radius 5cm subtends the length of 80 degree at the center of the circle find the length of the chord?

The length of a chord = pi*r*x/180 where x is the angle subtended. = pi*5*80/180 = 6.98 cm