Circles
The round shape figure is called Circles .Example :Pizza,CD's,coins etc.
A Circle is the path of all the points that are equidistant from a fixed point on a given surface.
Part | Description | Example | Properties |
Center | A point in a plane from which all points on the circle are equidistant | O is the center |
A circle can have only one center |
Radius | A line segment with one end point at the center and other end point on the circle |
OP is a radius |
The radius is always half the diameter R = d/2. A circle can have an infinite radii. (plural of radius) |
Diameter | A chord that passes through the center of a circle. | AB is a diameter. |
A diameter is twice the radius d = 2r. It is always passes through the center. It is the longest chord of a circle. |
Circum- ference |
The length of a boundary of a circle. | O is the center |
Every point on the circumference is equidistant from the center. |
Chord | A line segment whose end points are on the circle. | PQ is a chord. |
A chord can be of any length.It may or may not pass through the center. Diameter is the longest chord. |
Arc | A part of a circle between any two points on the circle. | PQR is an arc. |
It can be of any length. The bigger arc is called major arc and the smaller arc is called minor arc. |
Segment | A chord divides a circle into two parts called segments. | PQR is an arc. |
PQR is a minor segment . RSP is the major segment. |
Sector | The region enclosed by two radii and an arc. | sector AOB |
The smaller sector is called minor sector and the bigger sector is called major sector. |
Semicircle | Half circle. | Diameter of a circle divides it into two semicircles. |
Circles
• Circles
• Parts of -Circle
• Arc and Chords
• Equal Chords
• Arc and Angles
• Cyclic Quadrilaterals
• Tangent