What does the Latin word radius mean?
What does the Latin word radius mean?
The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel. The plural of radius can be either radii (from the Latin plural) or the conventional English plural radiuses.
What does 5 mile radius mean?
the radius (of a circle): the distance from the center of a circle to its edge. noun. (There are 3 bakeries) within a 5-mile radius (of my house): (There are 3 bakeries) less than 5 miles away (from my house)
How do you describe a radius?
a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter. a circular area having an extent determined by the length of the radius from a given or specified central point: every house within a radius of 50 miles.
What is Radius in simple words?
1 : a straight line extending from the center of a circle to the outside edge or from the center of a sphere to the surface. 2 : an area that extends in all directions from a place Most students live within a radius of five miles from the school. 3 : the bone on the thumb side of the arm between the wrist and the elbow.
How do you describe a radius diameter?
Radius: A circle’s radius — the distance from its center to a point on the circle — tells you the circle’s size. Chord: A segment that connects two points on a circle is called a chord. Diameter: A chord that passes through a circle’s center is a diameter of the circle.
How do you describe a radius diameter and a chord?
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. The chord of a circle which passes through the centre of the circle is called the diameter of 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.
How did you identify and name the radius?
Answer: 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. The chord of a circle which passes through the centre of the circle is called the diameter of the circle.
Is the radius a chord?
Any segment which connects two different points on a circle is a chord. The radius of a circle connects the centre and one point on the circle. Hence a radius cannot be called a chord.
What is the formula of chord?
r is the radius of the circle. c is the angle subtended at the center by the chord….Chord Length Formula.
| Formula to Calculate Length of a Chord | |
|---|---|
| Chord Length Using Perpendicular Distance from the Center | Chord Length = 2 × √(r2 − d2) |
| Chord Length Using Trigonometry | Chord Length = 2 × r × sin(c/2) |
Is a diameter a radius?
Radius, Diameter and Circumference The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
Can a chord be shorter than a radius?
A chord can be shorter than a radius of the same circle. A radius is always congruent to another radius of the same circle.
What is the longest chord?
diameter
Is the length of every chord in a circle is always greater than the length of a radius?
It is also half the DIAMETER of the circle – a chord that passes through the center of the circle. Thus, the length of every chord in a circle is NOT ALWAYS greater than the radius.
Which is longer chord or diameter?
By definition, a chord is a straight line joining 2 points on the circumference of a circle. The diameter of a circle is considered to be the longest chord because it joins to points on the circumference of a circle.
How do you find the length of a chord without an angle?
How do you calculate arc length without the angle?
- Divide the chord length by double the radius.
- Find the inverse sine of the result (in radians).
- Double the result of the inverse sine to get the central angle in radians.
- Once you have the central angle in radians, multiply it by the radius to get the arc length.
How do you find the radius of a chord length?
You can find the radius of a circle if you have the length and height of a chord of that circle. Multiply the height of the chord times four. For instance, if the height is two, multiply two times four to get eight. Square the length of the chord.
What is chord line?
An imaginary straight line drawn between the leading edge and the trailing edge of an aerofoil, in the direction of the normal airflow, is referred to as a Chord Line.
What is the purpose of a chord line?
In aeronautics, a chord is the imaginary straight line joining the leading edge and trailing edge of an aerofoil. The chord length is the distance between the trailing edge and the point where the chord intersects the leading edge.
What does aerofoil mean?
An airfoil (American English) or aerofoil (British English) is the cross-sectional shape of a wing; blade of a propeller rotor or turbine; or sail as seen in cross-section.
What is a chord length?
It is defined as the line segment joining any two points on the circumference of the circle, not passing through its centre. Therefore, the diameter is the longest chord of a given circle, as it passes through the centre of the circle. Calculation of the length of the chord is sometimes very important in mathematics.
How many chords can a circle have?
Chords and regions What is the maximum number of regions into which 6 chords will divide a circle?
What is the formula for 2 Secants?
Two Secants Intersecting Formula: If two secant segments are drawn from a point outisde a circle, the product of the lengths (C + D) of one secant segment and its exteranal segment (D) equals the product of the lengths (A + B) of the other secant segment and its external segment (B).
Is it true that two chords always have same length?
Answer: Two chords are equal in length if they are equidistant from the center of a circle. For example, chord AB is equal to chord CD if PQ = QR.
How many intersecting chords are there?
two intersecting chords