# Relationship between arc chord and radius

### Given the arc length and chord length, what is the radius? - Math Central

We explain The Relationship Between Chords, Diameters, and Minor Arcs of a Circle with video tutorials and quizzes, using our Many Ways(TM) approach from . We explain The Relationship Between Chords, Diameters, and Minor Arcs of a Circle with video tutorials and quizzes, using our Many Ways(TM) approach from . The circumference is always the same distance from the centre - the radius. Sectors, segments, arcs and chords are different parts of a circle. Part of. Maths.

In the above diagram, O is the center of the circle and and are radii of the circle. The radii of a circle are all the same length.

**Arc-Chord-Diameter Three theorems with applications / 10.3**

The radius is half the length of the diameter. Arc An arc is a part of a circle.

### Circular Segment -- from Wolfram MathWorld

In the diagram above, the part of the circle from B to C forms an arc. An arc can be measured in degrees. Tangent A tangent is a line that touches a circle at only one point. A tangent is perpendicular to the radius at the point of contact.

The point of tangency is where a tangent line touches the circle. In the above diagram, the line containing the points B and C is a tangent to the circle. It touches the circle at point B and is perpendicular to the radius.

Point B is called the point of tangency. Parts of a Circle The following video gives the definitions of a circle, a radius, a chord, a diameter, secant, secant line, tangent, congruent circles, concentric circles, and intersecting circles.

A secant line intersects the circle in two points.

A tangent is a line that intersects the circle at one point. A point of tangency is where a tangent line touches or intersects the circle. Congruent circles are circles that have the same radius but different centers.

## How to Calculate Arc Length of a Circle Segment and Sector Area

A semi-circle is a special case of a segment, formed when the chord equals the length of the diameter. Pi is equal to 3.

What's the Length of the Circumference of a Circle? If the diameter of a circle is D and the radius is R.

Angles are measured in degrees, but sometimes to make the mathematics simpler and elegant it's better to use radians which is another way of denoting an angle.

A radian is the angle subtended by an arc of length equal to the radius of the circle.

### BBC Bitesize - GCSE Maths - Circles, sectors and arcs - Edexcel - Revision 5

A right-angled triangle has one angle measuring 90 degrees. The side opposite this angle is known as the hypotenuse and it is the longest side. Sine and cosine are trigonometric functions of an angle and are the ratios of the lengths of the other two sides to the hypotenuse of a right-angled triangle. However sine and cos are derived from the sides of an imaginary right angled triangle superimposed on the lines.

In the second diagram below, you can imagine a right angled triangle superimposed on the purple triangle, from which the opposite and adjacent sides and hypotenuse can be determined.

Over the range 0 to 90 degrees, sine ranges from 0 to 1 and cos ranges from 1 to 0 Remember sine and cosine only depend on the angle, not the size of the triangle.