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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.
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
A radius of a circle is perpendicular to a chord if and only if?
Bisects that chord
True or False If a radius of a circle intersects a chord it is perpendicular to that chord?
its false
If a radius of a circle is perpendicular to a chord then it bisects that chord?
YesAt a right angle
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.
What is it when the point that is the same distance from all the points of a circle?
Your question implies that it could be the radius, diameter or even the chord of a circle in which the diameter is the largest chord of a circle.
If a radius of a circle is perpendicular to a chord then?
Then the radius bisects the chord.
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.
Is a radius a chord of a circle?
No, but the diameter of a circle is its largest chord
If a radius of a circle is perpendicular to a chord at what point does it intersect the chord?
The radius of the circle that is perpendicular to a chord intersects the chord at its midpoint, so it is said to bisect the chord.
In math how do you found the chord in a circle?
A chord is when two points in a circle are connected by segment. A diameter is a chord, but not a radius. The radius is not a complete segment in the circle
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
How do you find radius if you know the chord?
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.
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 the radius?
a chord is a line between two points on the circle the radius is a line from the center to the circle
If a radius of a circle is perpendicular to a chord then it that chord?
Bisects
