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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?
Wiki User
∙ 10y ago
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).
Wiki User
∙ 10y ago
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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 the strait line from the circumference of a circle?
It could be a tangent or a chord.
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.
list of parts of a circle?
They are:- circumference diameter radius sector arc chord segment tangent
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 that touches the outside circumference of a circle at one point whereas a chord is a straight line within a circle that spans its circumference.
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 the strait line from the circumference of a circle?
It could be a tangent or a chord.
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.
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)
Is it true or false that the measure of a tangent-chord angle is twice the measure of the intercepted arc inside the angle?
It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.
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.
