Formula Used:
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The Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles that form the annulus. It represents the distance from the center to the inner boundary of the annular shape.
The calculator uses the formula:
Where:
Explanation: The inner radius is calculated by subtracting the breadth (distance between the two circles) from the outer radius.
Details: Calculating the inner circle radius is essential for determining the area and other geometric properties of an annulus. It's crucial in engineering, architecture, and various mathematical applications involving annular shapes.
Tips: Enter the outer circle radius and breadth of the annulus in meters. Both values must be positive numbers, and the outer radius must be greater than the breadth for a valid calculation.
Q1: What is an annulus?
A: An annulus is a ring-shaped object formed by two concentric circles, resembling a flat circular ring or washer.
Q2: Can the breadth be larger than the outer radius?
A: No, the breadth cannot exceed the outer radius as it would result in a negative inner radius, which is not physically possible.
Q3: What are the units used in this calculation?
A: The calculator uses meters as the default unit, but the same formula applies to any consistent unit of measurement.
Q4: How is this calculation used in real-world applications?
A: This calculation is used in engineering for pipe dimensions, in architecture for circular structures, and in manufacturing for ring-shaped components.
Q5: What if I have the inner radius and want to find the outer radius?
A: You can rearrange the formula: \( r_{Outer} = r_{Inner} + b \)