Circumference of the Circle
The circle is donated by a complete boundary. If we calculate the length of this boundary, then it gives us the circumference of the circle. The length of the boundary can be calculated by cutting the length at one point and then stretching it so that it becomes a straight line. A large number of infinite points can be arranged on the boundary of the circle and all of these points will be equally distant from the origin. This point which is known as the centre of the circle always holds a constant distance toward any point on the radius of the circle.
Use Trigonometric Substitution and Trigonometric Identity to determine the Circumference of a Circle of Radius 3.
When any two-dimensional or three-dimensional plane is being intersected and cut then there are curves obtained, which are known as conic sections. In the case of a cone, there are two identical conical shapes, which are also known as capes. The shape of these conical shapes in the cone depends upon the angle that is opting in as a result of the cut between the plane and the cone. Various shapes can be obtained depending upon the difference in the curve sizes which are circle, hyperbola, ellipse, and parabola we can study these shapes in detail, wherein
- The ellipse is one of the conic sections, which is formed as a result of the intersection of a plane with the cone at an angle.
- The circle is considered to be a conic section where the intersection happens parallel to the cone base and it can be considered to be a special type of ellipse.
- Also, hyperbola formation occurs when the plane is parallel to the cone axis and the intersection happens with both the names of the double cone.
- Lastly, we obtain a parabola when the intersecting plane cuts the surface of the cone at an angle.
The following diagram represents the various types of conic sections that are available depending on the difference in the cuts between the intersecting surface and the cone and its necks.
In this article, we will focus on the conical section of the circle. First, the circle has the following properties,