The Arc of a Circle Assignment Help
The Arc of a Circle
The curve of a circle is a part of the periphery of a circle.
Measure a curve by two strategies: 1) the proportion of the focal edge or 2) the length of the bend itself.
Proportion of the central angle:
The XZ curve estimates 120°.
The XY bend estimates 140°.
The length of a curve (or circular segment length) is generally symbolized by s.
The recipe for discovering curve length in radians is where s = r theta where r is the radius of the circle and θ is the proportion of the central angle in radians.
An examination of degree and radian measure to discover the circular segment length:
|
Degrees |
Radians |
|
90° |
π/2 |
|
60° |
π/3 |
|
45° |
π/4 |
|
30° |
π/6 |
Sectors and Segments
area is the piece of a hover encased by two radii of a circle and their caught arc. The fragment of a circle is the locale limited by a harmony and the circular segment subtended by the harmony.
