Is the chord length equal to the arc length?
The largest possible chord is a diameter. On the unit circle, the arc length for a diameter is while the cord length is only . If we compare arc AB to the diameter, then the ratio of the arcs is while the ratio of the chords is only ! We can say that if the chords are equal, then the arcs are equal.
What is the relation between arc and chord?
Hint: Chord means the line segment joining two points on a circle and arc means the portion of the circle between two points on the circle.
How do you find the length of a chord with an arc length?
- Step 1: Central angle/2 = 2/2 = 1.
- Step 2: Sin(1) = 0.841.
- Step 3:Chord length/ (2 × 0.841) = 5/ 1.682 = 2.973 units = radius.
- Step 4: Arc length = radius × central angle = 2.973 × 2 = 5.946 units.
Which arc is a major arc?
An arc whose measure is greater than 180 degrees is called a major arc. An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two.
What is the relationship between a chord and a radius?
Answer: The radius of a circle with a chord is r=√(l2+4h2) / 2, where ‘l’ is the length of the chord and ‘h’ is the perpendicular distance from the center of the circle to the chord.
What is a chord circle theorem?
The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
What is the name of the longest chord in a circle?
diameter
A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.
What is the formula for the length of a 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) |
What is the longest chord of a circle?
The Longest chord of any circle is its diameter.