Area of an Annulus Calculator

Area of an Annulus (Ring) Calculator: Understanding the step by step procedure of computing the area of an annulus helps the students to solve the math questions easily in their assignments and exams. Area of an Annulus Calculator is a free and handy tool that gives the exact solution within seconds. This calculator aims to save the valuable time of the students while solving the tough math problems. You need to enter the outer radius, inner radius of an annulus circle in the input fields and also select the units, hit on the calculate button to find the area in a short span of time.

Choose
Area of an Annulus(Ring) Calculator

Enter the Radius(R)

Enter the Radius (r)



Here are some samples of Area of an Annulus calculations

  • Area of an Annulus 57 cm by 36 cm
  • Area of an Annulus 68 cm by 24 cm
  • Area of an Annulus 98 cm by 61 cm
  • Area of an Annulus 55 cm by 53 cm
  • Area of an Annulus 69 ft by 30 ft
  • Area of an Annulus 95 ft by 52 ft
  • Area of an Annulus 54 ft by 17 ft
  • Area of an Annulus 97 ft by 13 ft
  • Area of an Annulus 85 in by 47 in
  • Area of an Annulus 95 in by 57 in
  • Area of an Annulus 41 in by 39 in
  • Area of an Annulus 85 in by 18 in
  • Area of an Annulus 79 m by 78 m
  • Area of an Annulus 85 m by 68 m
  • Area of an Annulus 62 m by 21 m
  • Area of an Annulus 98 m by 69 m
  • Area of an Annulus 96 yd by 31 yd
  • Area of an Annulus 17 yd by 10 yd
  • Area of an Annulus 72 yd by 31 yd
  • Area of an Annulus 72 yd by 59 yd
  • Area of an Annulus 9 m by 9 ft
  • Area of an Annulus 6 yd by 4 m
  • Area of an Annulus 2 m by 5 in
  • Area of an Annulus 5 m by 9 in
  • Area of an Annulus 5 m by 4 cm
  • Area of an Annulus 6 m by 7 in
  • Area of an Annulus 7 yd by 6 in
  • Area of an Annulus 8 yd by 4 cm
  • Area of an Annulus 23 m by 2 ft
  • Area of an Annulus 69 ft by 6 in
  • Area of an Annulus 73 ft by 8 yd
  • Area of an Annulus 62 yd by 6 cm
  • Area of an Annulus 41 ft by 9 in
  • Area of an Annulus 58 ft by 6 in
  • Area of an Annulus 24 m by 2 cm
  • Area of an Annulus 96 yd by 2 ft
  • Area of an Annulus 30 m by 5 ft
  • Area of an Annulus 71 yd by 6 in
  • Area of an Annulus 27 yd by 6 m
  • Area of an Annulus 96 ft by 6 m
  • Area of an Annulus 53 yd by 53 ft
  • Area of an Annulus 31 yd by 85 in
  • Area of an Annulus 39 m by 39 yd
  • Area of an Annulus 28 yd by 19 cm
  • Area of an Annulus 47 m by 80 ft
  • Area of an Annulus 21 yd by 79 ft
  • Area of an Annulus 70 yd by 41 in
  • Area of an Annulus 67 yd by 12 cm
  • Area of an Annulus 16 yd by 25 cm
  • Area of an Annulus 50 m by 66 cm
  • Area of an Annulus 70 ft by 36 in
  • Area of an Annulus 52 yd by 73 in
  • Area of an Annulus 81 yd by 97 ft
  • Area of an Annulus 97 m by 58 in
  • Area of an Annulus 87 m by 33 ft
  • Area of an Annulus 78 m by 37 cm
  • Area of an Annulus 89 m by 42 cm
  • Area of an Annulus 20 m by 67 ft
  • Area of an Annulus 61 m by 18 ft
  • Area of an Annulus 58 m by 80 cm

  • Go through the further modules to get the full fledged knowledge on how to solve the area of an annulus (ring) easily with the help of solved examples. However, you will also learn what is an annuluar ring and formula to find the area of an annulus.

    Annulus Ring Area Formula

    The formula for area of an annulus is given below

    Area of an annular ring is A = π * (R² - r²)

    Where, R is the radius of an outer circle.

    r is the radius of an inner circle.

    If you know diameter of annulus circle,

    Area of an annulus (ring) is A = (π / 4) * (D² - d²)

    Where,

    d is the diameter of inner circle.

    D is the diameter of outer circle.

    Steps to Calculate the Area of an Annular Ring

    Have a look at the manual procedure to calculate the annulus ring area in the below sections. Follow these simple steps and guidelines to get the area of an annulus using the formula.

    • Get the inner circle radius and outer circle radius from the question.
    • Square the radius of both circles.
    • Find the difference of outer circle square and inner circle radius.
    • Multiply the obtained value with π.
    • The result is called area of an annulus (ring).

    Examples of Annulus Ring Area

    Example 1: Find the area of the path, where the path is 16 cm wide, surrounds a circular lawn whose diameter is 360 cm?

    Solution:

    Given that,

    Width of the path = 16 cm

    Diameter of inner circle = 360 cm

    Radius of inner circle (r) = diameter / 2 = 360 / 2 = 180

    Radius of the outer circle (R) = 180 + 16 = 196

    Area of annulus = π * (R² - r²)

    A = 3.14 * (196² - 180²)

    = 3.14 * (38416 - 32400)

    = 3.14 * 6016

    = 18890.24

    ∴ Area of an annulus is 18890.24 cm².

    Example 2: If the area of an annulus is equal to 1092 inches and its width is equal to 2 inches, then find the radius of both inner and outer circles?

    Solution:

    Given that,

    Area of annulus = 1092 inches

    Width of annulus = 2 inches

    Width is equal to R - r

    R - r = 2

    R = 2 + r

    The formula to calculate area of an annulus A = π * (R² - r²)

    = π * (R - r) * (R + r)

    Substitute the values in the above formula.

    1092 = π * (2 + r - r) * (2 + r + r)

    1092 = 2π * (2r + 2)

    1092 = 4π * (r + 1)

    = 3.14 * 4 * (r + 1)

    = 12.56 * (r + 1)

    1092 / 12.56 = r + 1

    86.94 = r + 1

    r = 86.94 - 1

    r = 85.94

    R - r = 2 inches

    R - 85.94 = 2

    R = 2 + 85.94

    = 87.94

    So, the radius of outer circle is 87.94 inches, radius of inner circle is 85.94 inches.

    Areavolumecalculator.com is an ultimate website that offers all free math concepts calculators for assisting the students and every single person out there regarding geometric volume, area, surface area, other concepts.

    FAQ's on Annulus Area

    1. What is meant by annulus?

    Annulus is an region basically defined as the shape out of two circles. It is formed by two concentric circles. The region covered between those concentric circles is called annulus or annular region.

    2. What is the area of an annulus ring?

    Area of an annulus (ring) is defined as the area that is covered between the concentric circles. It can be obtained by finding the area of an inner circle meaning smaller one and area of an outer circle meaning bigger one. Subtract those two values to get the final result.

    3. What are the examples of Annulus ring?

    Some of the annulus ring examples are dough-nut, finger-ring, and others.

    4. What are the formulas to find the inner circle, outer circle radii?

    Radius of outer circle R = √(r² + (A) /( π))

    Radius of inner circle r = √(R² - (A) /( π))

    Where, A is the area of annulus and π is 22 / 7.


    Area of An Annulus (Ring) Calculator