If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
You can use the cosine rule to calculate the central angle.
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.
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
The angle at the circle centre is required. Draw a line from each end of the chord to the circle centre. Draw a line from the centre of the chord to the centre of the circle creating two right angle triangles, the hypotenuse of both = the radius (7 metres). Then > Length of chord = ((Sine ( centre angle / 2 ))* 7) * 2
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
You can use the cosine rule to calculate the central angle.
The formula for calculating the length of a chord in a circle is (2rsin(frac2)), where r is the radius of the circle and is the central angle subtended by the chord.
The radial length equals the chord length at a central angle of 60 degrees.
the length is: 2rsin(1/2 theta) where r is the radius and theta is the included angle.
The relationship between the chord and the radius of the circle is Length of the chord = 2r sin(c/2) where r = radius of the circle and c = angle subtended at the center by the chord
This requires trigonometry If theta is the angle from the center of the circle to the edges of the chord, then chord length = 2Rsin (theta/2)
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.
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.
multiply the chord length and radius and divide by 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
The angle at the circle centre is required. Draw a line from each end of the chord to the circle centre. Draw a line from the centre of the chord to the centre of the circle creating two right angle triangles, the hypotenuse of both = the radius (7 metres). Then > Length of chord = ((Sine ( centre angle / 2 ))* 7) * 2