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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.
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
How do you Find Arc Length of Segment from Chord Length and Radius?
multiply the chord length and radius and divide by 2
A radius of a circle is perpendicular to a chord if and only if?
Bisects that chord
Find the lenght of a chord that cuts off an arc of measure 60 degrees in a circle of radius 12?
The radial length equals the chord length at a central angle of 60 degrees.
What is the length of a biggest chord of a circle radius three eighths inch?
The biggest chord is the diameter which is radius*2 and so three quarters of an inch.
What is the length of a biggest chord of a circle of radius 4cm?
It is the diameter which is twice the radius giving a length of 8 cm
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 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.
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 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.
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.
What is the formula for calculating the length of a c delta chord in a circle?
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.
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)
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.
How do you calculate the coordinates of chord given the length of radius and chord?
You cannot. If you rotate the circle around its centre, the lengths of the radius and chord will remain the same but the coordinates of the chord will change.
If a radius of a circle intersects a chord then it bisects that chord?
If radius of a circle intersects a chord then it bisects the chord only if radius is perpendicular to the chord.
