Q: How do you find chord with known radius and degree?

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

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

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.

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

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

Related questions

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

multiply the chord length and radius and divide by 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

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

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.

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.

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

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

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

well,first the radius is half of the chord. Radius is the distance from the circle centre to the chord end. The chord is the line joining the ends of the arc. Draw this line. Call the distance from the arc of the circle at its deepest point to the mid point of the chord "c". If extended, this line will go throught the centre of the circle. Call half the length of the chord "y". Then the properties of circles and chords is that c(d-c)=y2 where d is the circle diameter, so that d = y2/c + c. And then radius is half that.

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}

-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees