Annulus perimeter calculator

Perimeter is the distance around a two-dimensional shape.

Ring — is a flat geometric figure bounded by two concentric circles. An open ring is the topological equivalent of a cylinder and a punctured plane.

An annulus is a ring-shaped region that is bounded by two concentric circles. The perimeter of an annulus is the distance around the outer and inner circles of the annulus. The perimeter of the ring is equal to the sum of the radii of the large and small circles, multiplied by 2 pi. To find the perimeter of the ring we use the following formula:

P = 2\pi r + 2\pi R

where P is the perimeter, r is the radius of the inner circle, and R is the radius of the outer circle.

How to Use the Annulus Perimeter Calculator

Our annulus perimeter calculator makes it easy to find the perimeter of your annulus. To use the calculator follow this steps:

1. Enter the value of the inner radius (r) in the first box.
2. Enter the value of the outer radius (R) in the second box.
3. The calculator will automatically compute the perimeter of your annulus.

Here's an example:

Example: Let's say you have an annulus with an inner radius (r) of 3 cm and an outer radius (R) of 5 cm. Using the formula above, we can calculate the perimeter of the annulus as follows:

P = 2π(3) + 2π(5)

P = 6π + 10π

P = 16π

P ≈ 50.27 cm

Annulus Perimeter Examples

Here are some examples of finding the perimeter of an annulus using the formula:

Example 1

Find the perimeter of an annulus with an inner radius of 2 cm and an outer radius of 8 cm.

P = 2\pi(2 + 8)

P = 4\pi + 16\pi

P = 20\pi

P ≈ 62.83 cm

Example 2

Find the perimeter of an annulus with an inner radius of 6 cm and an outer radius of 12 cm.

P = 2\pi*6 + 2\pi*12

P = 12\pi + 24\pi

P = 36\pi

P ≈ 113.10 cm

Conclusion

Calculating the perimeter of an annulus is an important skill in geometry. Our annulus perimeter calculator and formula make it easy to find the perimeter of your annulus. Try it out for yourself and see how easy it can be!