Circumference of a Sphere | Lexique de mathématique (2024)

FAQs

How to calculate the circumference of a sphere? ›

Circumference: The circumference of a sphere can be defined as the greatest cross-section of a circle that we can cut from a sphere. The formula for the circumference of a sphere is given by 2 π r. C 2 π r, where r is the radius of the circle and π (pi) is approximately 3.14.

Circumference formula = π× Diameter; Circumference = 2πr.

The surface area of a sphere is a = 4 pi r^2, where r is the radius of the sphere.

where r is the radius of the sphere. Thus, the radius of the sphere is 224271 cm. And on rounding it off to the nearest tenth of a centimeter, the radius of the sphere becomes 22.4cm. The answer is 22.4cm.

x2 + y2 + z2 = r2. This is called the equation of a sphere, also known as the general equation of a sphere or the equation of a sphere through the circle. Here, the distance between the points O and P is the radius, so r in the above equation can also be written as OP. Then, the equation would become: x2 + y2 + z2 = OP ...

The area of a circle is pi times the radius squared (A = π r²).

Surface Area of Sphere = 4πr², where r is the radius of sphere. A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same distance from the centre.

When the diameter of a circle is known, the formula is, Radius = Diameter/ 2. For example, if the diameter is given as 24 units, then the radius is 24/2 = 12 units. When the circumference of a circle is known, the formula is, Radius = Circumference/2π.

What is the formula for calculating pi? The pi is a ratio and is obtained from a circle. If the diameter and the circumference of a circle are known, the value of pi will be as π = Circumference/ Diameter.

Expert-Verified Answer

Now, let's isolate the r variable by dividing 4/3 and pi to the other side. We can get rid of the exponent by square rooting by 3. Which means the radius of the sphere is 21.1 cm.

What is the radius of a sphere with a volume of 90581 in 3 90581 in 3 to the nearest tenth of an inch? ›

Expert-Verified Answer

To calculate the radius of a sphere given its volume, which is 90581 in³, the formula V = (4/3)πr³ is used and rearranged to solve for r. After performing the calculations, the radius of the sphere is found to be approximately 27.9 inches to the nearest tenth.

The radius of a sphere is 2.08 cm.

Circumference of a sphere: C = 2πr.

It is also known as the great circle which contains the centre and the diameter of the sphere. It is measured in linear units such as mm, cm, m, in, or ft. The below figure shows the circumference of a sphere. Circumference (C) = 2πr, where π = 22/7 = 3.141 and r = radius.