What is the meaning of relationship in math?
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What is the meaning of relationship in math?
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.
What is a relation vs function?
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of \begin{align*}y\end{align*} for every value of \begin{align*}x\end{align*}.
What is the formula for circles?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.
What are the 5 parts of a circle?
Important Circle Parts
- Radius: The distance from the center of the circle to its outer rim.
- Chord: A line segment whose endpoints are on a circle.
- Diameter: A chord that passes through the center of the circle.
- Secant: A line that intersects a circle in two points.
What two properties define a circle?
Circle Properties
- The circles are said to be congruent if they have equal radii.
- The diameter of a circle is the longest chord of a circle.
- Equal chords and equal circles have the equal circumference.
- The radius drawn perpendicular to the chord bisects the chord.
- Circles having different radius are similar.
What is the unique characteristics of a circle?
A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.
What is the properties of a circle?
Summary of all the Properties of a Circle Perpendicular dropped from the center divides the chord into two equal parts. Radius is always perpendicular to the tangent at the point where it touches the circle. 1. Angles formed by the same arc on the circumference of the circle is always equal.
What are the key features of a circle?
Features of the circle
- A circle is formed by all points that lie a fixed distance r from a fixed point O.
- Any interval drawn from the centre to a point on the circle is called a radius of the circle.
- Any interval joining two points on the circle and passing through the centre is called a diameter of the circle.
What is the center of a circle called?
A circle is a set of all points in a plane that are all an equal distance from a single point, the center. The distance from a circle’s center to a point on the circle is called the radius of the circle. A line segment that crosses the circle by passing through the center of the circle is called the diameter.
What is the largest chord of a circle?
diameter
How many chords are in a circle?
Answer. 2 chords divide a circle into 4 regions.
What is the relationship between a chord and a radius?
The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle.
Is a chord always a diameter?
A diameter is a chord, but not all chords are diameters because chords are defined as ANY line from a point on a circle to another point on the circle. So a diamater can be a chord and a chord can be a diameter, but not always.
Why is diameter the longest chord?
The diameter of a circle is considered to be the longest chord because it joins to points on the circumference of a circle. In the circle below, AB, CD, and EF are the chords of the circle. Chord CD is the diameter of the circle.
Is diameter a chord yes or no?
(a) Yes , every diameter of a circle is a chord.
Why is diameter called longest chord?
The longest chord in a circle passes through the center of the circle and is, therefore, a diameter. AB’ = 2R = OA + OB \ge AB, implying (since AB was said to be the longest chord) AB’ = AB, so that B = B’ and O lies on AB. Let AB be a chord of circle (O) that is not a diameter.
