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A chord of a circle has length 4.2 cm and is 8 cm from the center of the circle what is the radius of the circle?
To find the radius of the circle, we can use the Pythagorean theorem. The chord divides the circle into two equal parts, each forming a right triangle with the radius. The radius, the distance from the center to the chord, and half the length of the chord form a right triangle. Using the Pythagorean theorem, we have (radius)^2 = (distance from center)^2 + (1/2 * chord length)^2. Substituting in the given values, we get (radius)^2 = 8^2 - (1/2 * 4.2)^2. Solving for the radius gives us a radius of approximately 7.48 cm.
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A chord of a circle is 9 inches long and its midpoint is 6inches from the center of the circle What is the radius of the circle?
Half of the chord, the distance of the midpoint from the center, and a radius, form a right triangle, with the radius as its hypotenuse. (4.5)2 + (6)2 = (radius)2 (20.25) + (36) = 56.25 = R2 Radius = 7.5 inches
How is a chord different from a radius?
A chord touches two points on the circumference of a circle whereas a radius touches only one point from its center.
What is the length of a biggest chord of a circle radius 4 cm?
It is 8 cm
What is the radius of a circle in which the longest chord has length y?
longest chord = diameter y = longest chord y = diameter radius = 1/2 diameter therefore, radius = 1/2y
What does diamater mean?
The diameter is the chord (line that goes from the circle to the circle) that goes through the center of the circle. It is the largest chord. It is also equal to twice the radius.
What is the relationship between the chord and the radius of circle?
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
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)
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 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 is a chord different from the radius?
a chord is a line between two points on the circle the radius is a line from the center to the circle
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.
Is a radius is a chord of a circle?
No, a radius connects the center of a circle the a point on the outside, a chord connects to points on the outside of the circle. Thanks for asking on
How is the length of the chord related to its distance from the center?
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.
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
A chord that passes through the center of a circle is?
Radius
How do you find the chord length when radius is given?
To find the chord length when the radius is given, you can use the formula: ( L = 2 \times r \times \sin\left(\frac{\theta}{2}\right) ), where ( L ) is the chord length, ( r ) is the radius, and ( \theta ) is the central angle in radians subtended by the chord at the center of the circle. If the angle is not provided, you can also use the relationship involving the distance from the center to the chord (perpendicular distance) to find the chord length.
What is the diameter of a circle?
A chord of a circle is a straight line that joins any two points on the circumference of a circle. The diameter of a circle is the length of the chord that passes through the centre of the circle; it is the chord of longest length and is twice the radius of the circle in length.
