Areas Related to Circles
- A circle is a shape consisting of all points in a plane that is a given distance from a given point, the centre; i.e it is the curve drawn out by a point that moves in a plane so that its distance from a given point is constant.
Some of real-world examples are: Cycle wheels, round cake, bangles, round pizza, Coins etc
After knowing the concept of circle let’s get into some of the important Terminology of the circle:
|Annulus||a ring-shaped object, the region bounded by two concentric circles.|
|Arc||any connected part of a circle. Specifying two endpoints of an arc and a centre allows for two arcs that together make up a full circle.|
|Centre||the point equidistant from all points on the circle.|
|Chord||a line segment whose endpoints lie on the circle, thus dividing a circle into two segments.|
|Circumference||the length of one circuit along the circle, or the distance around the circle.|
|Diameter||a line segment whose endpoints lie on the circle and that passes through the centre|
|Disc||the region of the plane bounded by a circle.|
|Radius||a line segment joining the centre of a circle with any single point on the circle itself|
|Sector||a region bounded by two radii of equal length with a common center and either of the two possible arcs, determined by this center and the endpoints of the radii.|
|Segment||a region bounded by a chord and one of the arcs connecting the chord’s endpoints. The length of the chord imposes a lower boundary on the diameter of possible arcs.|
|Secant||an extended chord, a coplanar straight line, intersecting a circle in two points.|
|Semicircle||one of the two possible arcs determined by the endpoints of a diameter, taking its midpoint as centre.|
|Tangent||a coplanar straight line that has one single point in common with a circle (“touches the circle at this point”).|
Above figures describe what exactly each terminology look like.
Now let us get into detailed concepts of each terminology of the circle starting with Perimeter and Area of a Circle.