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.

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Area of an Annulus(Ring) Calculator

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Here are some samples of Area of an Annulus calculations

  • Area of an Annulus 64 cm by 55 cm
  • Area of an Annulus 87 cm by 82 cm
  • Area of an Annulus 50 cm by 56 cm
  • Area of an Annulus 67 cm by 27 cm
  • Area of an Annulus 89 ft by 38 ft
  • Area of an Annulus 76 ft by 46 ft
  • Area of an Annulus 87 ft by 94 ft
  • Area of an Annulus 47 ft by 19 ft
  • Area of an Annulus 44 in by 15 in
  • Area of an Annulus 51 in by 35 in
  • Area of an Annulus 85 in by 20 in
  • Area of an Annulus 94 in by 99 in
  • Area of an Annulus 91 m by 19 m
  • Area of an Annulus 33 m by 18 m
  • Area of an Annulus 77 m by 67 m
  • Area of an Annulus 68 m by 63 m
  • Area of an Annulus 61 yd by 91 yd
  • Area of an Annulus 65 yd by 28 yd
  • Area of an Annulus 76 yd by 65 yd
  • Area of an Annulus 48 yd by 56 yd
  • Area of an Annulus 7 yd by 4 ft
  • Area of an Annulus 4 ft by 6 in
  • Area of an Annulus 3 m by 5 ft
  • Area of an Annulus 9 m by 2 in
  • Area of an Annulus 8 ft by 8 in
  • Area of an Annulus 4 ft by 6 in
  • Area of an Annulus 5 m by 9 ft
  • Area of an Annulus 2 ft by 5 cm
  • Area of an Annulus 47 m by 4 cm
  • Area of an Annulus 40 m by 6 in
  • Area of an Annulus 81 m by 2 cm
  • Area of an Annulus 33 ft by 9 in
  • Area of an Annulus 28 in by 3 cm
  • Area of an Annulus 40 m by 4 cm
  • Area of an Annulus 35 in by 8 cm
  • Area of an Annulus 45 ft by 5 cm
  • Area of an Annulus 19 in by 7 cm
  • Area of an Annulus 26 m by 7 yd
  • Area of an Annulus 33 ft by 4 in
  • Area of an Annulus 40 yd by 3 cm
  • Area of an Annulus 87 ft by 64 in
  • Area of an Annulus 13 ft by 95 cm
  • Area of an Annulus 55 yd by 82 ft
  • Area of an Annulus 66 m by 20 yd
  • Area of an Annulus 64 ft by 87 cm
  • Area of an Annulus 13 yd by 59 cm
  • Area of an Annulus 48 m by 11 in
  • Area of an Annulus 13 m by 44 ft
  • Area of an Annulus 42 in by 86 cm
  • Area of an Annulus 74 ft by 84 cm
  • Area of an Annulus 99 m by 24 ft
  • Area of an Annulus 90 yd by 94 in
  • Area of an Annulus 38 m by 21 cm
  • Area of an Annulus 58 yd by 88 in
  • Area of an Annulus 84 yd by 41 in
  • Area of an Annulus 75 yd by 19 ft
  • Area of an Annulus 61 ft by 44 cm
  • Area of an Annulus 52 m by 37 ft
  • Area of an Annulus 28 ft by 70 cm
  • Area of an Annulus 25 yd by 11 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.


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