Radius of the Circle
We consider origin to be the centre of the circle. Now, when we start a line segment from this origin and take it to the boundary or edge of the circular object or circular diagram then it is considered to be a Radius. Radius is an important attribute of almost all the geometrical figures that are obtained around us it is also an important concept in the case of spheres, cones with circular bases, cylindrical circular cylindrical bases, etc, therefore, a large number of cylindrical circular figures always tend to be denoted by radius. In other words, if we define the circle as a locus of a point moving in a plane then the distance from the fixed point to the boundary is known as a radius and this distance is always constant in nature that is, the radius in any angle from the origin to the boundary always remains the same. The fixed point of the circle can also be known as the centre of the circle which is an again important attribute of the circle and this point on the line segment together forms the radius therefore, the radius of the circle has two endpoints, one of which is always the origin 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,