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How is the length of the chord related to its distance from the center?
Wiki User
∙ 10y ago
Length of chord, l = 2*sqrt(r2- d2) where
r is the radius of the circle and
d is the perpendicular distance of the chord from the centre of the circle.
l, r and d are measured in the same units of length.
Wiki User
∙ 10y ago
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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}
In a circle whose diameter is 20in and a chord is 6in from the center what is the length of the chord?
the chord is 4in long
Is a chord always equal to the length of the diameter?
No; actually, the diameter is a chord that goes through the center of a circle.
What is the diameter in the US?
A diameter is the length of a chord passing through the center of a circle.
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
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}
In a circle whose diameter is 20in and a chord is 6in from the center what is the length of the chord?
the chord is 4in long
What is the relation between radius and chord length of circle?
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)
Is a chord always equal to the length of the diameter?
No; actually, the diameter is a chord that goes through the center of a circle.
Why is the diameter the longest chord?
A chord is a straight line from one point on a circle's circumference to another. Because the largest straight line distance in a circle is the diameter and the diameter is also a chord, the diameter is the longest chord. Join the endpoints of a given chord to the center of the circle to form an isosceles triangle. The triangle inequality then tells that the length of the chord is less than two radii of the circle, i.e., less than the diameter. See related links.
What is a line segment that has both endpoints on the circle?
This is referred to as a chord. If the chord passes through the center of the circle, it represents the diameteror width of the circle.For a circle, the length of the diameter is the longest possible length of a chord.
What is a group of related tones with common center called?
A chord
Is it possible for a chord of a circle to be the length as the diameter of that same circle?
Absolutely! As long as the chord goes through the center of the circle.
Which best describes the diameter of a circle?
The length of a chord that contains the center of the circle
What is the diameter in the US?
A diameter is the length of a chord passing through the center of a circle.
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
What is the diameter of a cirlce?
The length of a chord that passes through the center of a circle is the diameter of the circle.
