central angle

The great circle distance is proportional to the central angle.

A sector with the central angle of 180 is called a semicircle.

The central angle between the two points can be determined from the chord length.

Go more deeply into the context and possible consequences of the decision point, dilemma or central angle.

Since that leg is a straight line, the supplement of the central angle equals 180 2θ.

Determining the central angle usually requires some non-trivial spherical geometry.

Using the conversion described above, we find that the area of the sector for a central angle measured in degrees is:

Note that the central angle for the golden inscribed angle is 360 2θ.

If the polygon required has n sides, then the central angle opposite one side will be 360/n.

An inscribed angle (examples are the blue and green angles in the figure) is exactly half the corresponding central angle (red).

The arbitrary angle equals half of the sum of the two central angles that share the diameter as a leg.

The central angle between any two vertices of a perfect tetrahedron is , or approximately 109.47 .

The values in the last column, the derived central angle of each sector, is found by multiplying the percentage by 360 .

The central angle is:

Adding the two subangles again yields the result that the inscribed angle is half of the central angle.

Note that the sides of a spherical triangle are usually measured rather by angular units than by linear, according to corresponding central angles.

The size of each central angle is proportional to the size of the corresponding quantity, here the number of seats.

In a pie chart, the arc length of each sector (and consequently its central angle and area), is proportional to the quantity it represents.

In particular, every inscribed angle that subtends a diameter is a right angle (since the central angle is 180 degrees).

The measure of the intercepted arc (equal to its central angle) is exactly twice the measure of the inscribed angle.

Angle BOA is a central angle; call it θ.

Assuming a radius R for the disc, a sector of disc with central angle θ has an area:

In the diagram, θ is the central angle in radians, the radius of the circle, and is the arc length of the minor sector.

Theoretically, the ideal constant angle arch in a "V"-shaped valley for such an arch dam has a central angle of 133 of curvature.

The angle formed by connecting the endpoints of the arc to any point on the circumference that is not in the sector is equal to half the central angle.