Use our free online radius of sphere calculator to calculate the radius with the given volume, surface area, or diameter of a sphere.Ĭheck these interesting articles related to the radius and its formulas.įAQs on Radius of Circle What is the Radius of a Circle in Geometry? Radius of Sphere using Surface Area = ⎷(A/4π), where A represents the surface area. Radius of Sphere from Volume = 3⎷(3V/4π), where V represents the volume and the value of π is approximately 3.14 And we can easily calculate the radius of the sphere from its volume and surface area formulas. To calculate the sphere's volume and surface area, we need to know its radius. Like a circle, there can be infinite radii drawn inside a sphere and all those radii will be equal in length. It is a determining factor while drawing a sphere as its size depends on its radius. The radius of the sphere is the segment from the center to any point on the boundary of the sphere. The radius formula using the area of a circle is expressed as:Ī sphere is a 3D solid figure. Here, r is the radius and π is the constant which is equal to 3.14159. The relationship between the radius and area is given by the formula, Area of the circle = πr 2. The area of a circle is the space occupied by the circle. Radius = Circumference/2π Radius Formula using Area The radius formula using the circumference of a circle is expressed as: The radius is the ratio of circumference to 2π. Here, C is the circumference, r is the radius of the circle, and π is the constant which is equal to 3.14159. It is the boundary of a circle and can be expressed by the formula: C = 2πr. The perimeter of a circle is called its circumference. Radius = Diameter ÷ 2 Radius Formula from Circumference When the diameter of a circle is given, then the radius formula is expressed as: It is also the longest chord of a circle. Mathematically, it is written as Diameter = 2 × radius. The diameter is twice the length of the radius. The diameter is a straight line passing through the center and joining a point from one end to a point on the other end of the circle. Radius of Curvature, R =\(\dfrac\).The radius of a circle can be calculated using some specific formulas that depend on the known quantities and parameters. For any curve with equation y = f(x), with x as its parameter the radius of curvature can be given as: Any approximate circle's radius at any particular given point is called the radius of curvature of the curve or the vector length of curvature is also called the radius of curvature. The distance from the vertex to the center of curvature is known as the radius of curvature (represented by R). What is the Radius of the Curvature Formula? Let us understand the radius of curvature formula in detail using solved examples in the following section. The radius of curvature is not a real shape or figure rather it's an imaginary circle. The radius of curvature is the reciprocal of the curvature. The amount by which a curve derivates itself from being flat to a curve and from a curve back to a line is called the curvature. The radius of curvature formula is denoted as 'R'. As we move along the curve the radius of curvature changes. Any approximate circle's radius at any particular given point is called the radius of curvature of the curve.
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