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May 15, 2024 · How to find the radius of a sphere? What's the radius of a sphere formula? Check out this radius of a sphere calculator and answer these questions.
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Find the radius if you know the diameter. The radius is half the diameter, so use the formula r = D/2. This is identical to the method used for calculating the radius of a circle from its diameter.[1] X Research source If you have a sphere with a diameter of 16 cm, find the radius by dividing 16/2 to get 8 cm. If the diameter is 42, then the radius is 21.Find the radius if you know the circumference. Use the formula C/2π. Since the circumference is equal to πD, which is equal to 2πr, dividing the circumference by 2π will give the radius.[2] X Research source If you have a sphere with a circumference of 20 m, find the radius by dividing 20/2π = 3.183 m. Use the same formula to convert between the radius and circumference of a circle.Calculate the radius if you know the volume of a sphere. Use the formula ((V/π)(3/4))1/3.[3] X Research source The volume of a sphere is derived from the equation V = (4/3)πr3. Solving for the r variable in this equation gets ((V/π)(3/4))1/3 = r, meaning that the radius of a sphere is equal to the volume divided by π, times 3/4, all taken to the 1/3 power (or the cube root.)[4] X Research ...Find the radius from the surface area. Use the formula r = √(A/(4π)). The surface area of a sphere is derived from the equation A = 4πr2. Solving for the r variable yields √(A/(4π)) = r, meaning that the radius of a sphere is equal to the square root of the surface area divided by 4π. You can also take (A/(4π)) to the 1/2 power for the same result.[5] X Research source If you have a ...This article was published on demand. However, if you are trying to get to grips with solid geometry for the first time, it's arguably better to start the other end: calculating the properties of the sphere from the radius. Thanks Helpful 0 Not Helpful 0The order in which the operations are performed matters. If you are uncertain how priorities work, and your calculating device supports parentheses, then make sure to use them. Thanks Helpful 0 Not Helpful 0π or pi is a Greek letter that represents the ratio of the diameter of a circle to its circumference. It's an irrational number and cannot be written as a ratio of 2 integers. Many approximations exist, 333/106 gives pi to four decimal places. Today most people memorize the approximation 3.14 which is usually sufficiently accurate for everyday purposes. Thanks Helpful 0 Not Helpful 0- 543.9K
May 30, 2024 · A sphere is defined as the set of all points in three-dimensional Euclidean space R^3 that are located at a distance r (the "radius") from a given point (the "center"). Twice the radius is called the diameter, and pairs of points on the sphere on opposite sides of a diameter are called antipodes.
Basic terminology. Two orthogonal radii of a sphere. As mentioned earlier r is the sphere's radius; any line from the center to a point on the sphere is also called a radius. [3] If a radius is extended through the center to the opposite side of the sphere, it creates a diameter.
Aug 3, 2023 · The radius of a sphere is the shortest distance from its center to any point on its surface. It is half the length of the diameter of the sphere. The radius, being a measure of length or distance is expressed in linear units such as mm, cm, m, in, or ft.
A sphere does not have any edges or vertices, like other 3D shapes. The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.
Radius. A radius, r, of a sphere is a line segment from the center of the sphere to any point on the sphere's surface. Three radii (plural for radius) are graphed for the sphere with center at point O below.
