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What is the length of a chord of the circle x2 plus y2 equals 72 which is tangent to the circle x2 plus y2 equals 18?
The circles are concentric with centre (0,0).
The radius of the outer circle is sqrt(72), that of the inner circle is sqrt(18).
By Pythagoras, the length of the semichord is sqrt(72 - 18) = sqrt(54) units.
Therefore the chord is 2*sqrt(54) = 6*sqrt(6) = 14.679 units (approx).
What else can I help you with?
What is the strait line from the circumference of a circle?
It could be a tangent or a chord.
Can a chord become a tangent?
No because a chord is a small part of the circumference and a tangent is a line outside of the circle that touches the circumference at a single point.
What is part of a circle?
Parts of a circle are:- Circumference Diameter Radius Chord Segment Sector Tangent
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 many chords can a tangent contain?
A tangent to a circle can contain at most one chord, which is the line segment connecting two points on the circle that lies entirely within the circle. Since a tangent line only touches the circle at a single point and does not intersect it elsewhere, it cannot contain multiple chords. Therefore, regardless of how many points are on the circle, a tangent line can only be associated with one chord at that specific contact point.
Is a tangent in a circle a type of chord?
yes!
How is a tangent different from a chord?
A Tangent is a straight line, outside the circle, that just touches the circle circumference in one place. A Chord is a straight line , inside the circle, but not passing throught the centre. and touches the circle circumference in two place.
What is the strait line from the circumference of a circle?
It could be a tangent or a chord.
Can a chord become a tangent?
No because a chord is a small part of the circumference and a tangent is a line outside of the circle that touches the circumference at a single point.
What is part of a circle?
Parts of a circle are:- Circumference Diameter Radius Chord Segment Sector Tangent
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.
What is the chord that passes through the centre of a circle?
The chord that passes through the center of a circle is called the diameter. The measure of this chord is also called the diameter, and is used in calculations such as finding the circumference of a circle (Circumference equals pi times the diameter).^^wrong...it is eitherSecant or tangent im pretty sure its SECANT though...
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.
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.
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 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)
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.
