Circumference Formula for Some Other Curved Objects

Sample Problems on Circumference Formula

Apart from the circle, the circumference can be calculated for some other curved objects. Lets’s learn the circumference formula for cylinder, sphere, and ellipse.

Cylinder Circumference Formula

A cylinder is a 3D object whose two ends consist of a flat circular plane and the middle region is a curved region along which the cylinder can roll. The circumference formula in the cylinder is used to find the circumference of the two circles at two ends. The circumference formula for the circular ends of a cylinder is given as

C = 2πr

where r is the radius of the cylinder

Sphere Circumference Formula

A sphere is a three-dimensional round-shaped object. Like a circle, it has also a center, radius, and boundary. The circumference of a sphere can be found along any axis i.e. x, y, and z as it is the same along all directions. The sphere circumference formula is given as

C = 2πr

where r is the radius of the sphere

Ellipse Circumference Formula

The length of the boundary of an Ellipse is called its Circumference. We can’t exactly calculate the circumference of an ellipse rather we can approximate it. Let’s say an ellipse is defined by the equation (x²/a²) + (y²/b²)= 1 where a is the expansion of the ellipse along the x-axis and b is the expansion of the ellipse along the y-direction. If a is approximately equal to b then the expansion in both the x and y directions is the same and the ellipse will approximately become a circle. In this case, if a = b then the Circumference of the Ellipse is given by

C = π (a + b)

If a and b are not approximately equal then any other below formula can be used

C = π √[2(a²+ b²)]

C = π [ (3/2)(a + b) – √(ab) ]

Read More,

Area of Circle

Perimeter of Triangle

Quadrilateral

Circumference Formula

Circumference Formula as the name suggests is the formula for calculating the circumference of a circle and as we know the circumference of a circle is defined as the length of the boundary of the circle. For ease of understanding, Circumference is the perimeter of the circle.

Circumference Formula is given by the product of twice the radius and the constant value π. A circle is a two-dimensional curved figure and a bangle is one of the best examples of the Circle. In this article, we will learn about the Circumference Formula and also learn how to calculate the Circumference of a Circle using Circumference Formula. We will also learn the Circumference Formula for semicircles, spheres, and other 3D objects whose at least one face is circular in nature.

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