Select the parameters and enter their values to calculate arc length and other related results, with step-wise solution.
This tool helps you calculate the arc length of a circle using the formula (s=rθ). Simply input the radius and the central angle (in degrees or radians) to get accurate results. You can also calculate additional parameters, such as:
Additionally, you can also select multiple inputs and enter their values to calculate results, with a step-wise solution.
Our calculator is useful in various fields, including:
Arc of a circle is the distance along the curved line between two points on the circumference of a circle.
Steps to calculate the arc length of a circle:
If the central angle is in radians:
s = rθ
If the central angle is in degrees:
$$ s = \dfrac{θ}{360} * 2ℼr $$
In a circle, the arc length and sector area are closely related through the central angle and radius. While the arc length measures the distance along the curved part of the circle, the sector area represents the region enclosed by that arc and the two radii connecting it to the center.
For a circle with radius r and central angle θ (in radians):
s=rθ (Already discussed above)
A=12r2θA = \frac{1}{2} r^2 \thetaA=21r2θ
This means that if you know either the arc length or sector area (and the radius), you can easily compute the other. These formulas are essential for applications in geometry, physics, engineering, and various design calculations.
The arc length calculator also includes the ability to compute the sector area, which holds true for all the input combinations available in the tool.
No, the angle is essential for calculating arc length. The arc length depends on both the radius of the circle and the central angle (either in degrees or radians). Without the angle, it's not possible to determine how much of the circle's circumference the arc covers.
If you know other values (like the chord length and radius), you can calculate the angle first, then use it to find the arc length, but the arc length calculator requires the angle as a direct input.
Yes! This calculator fully supports both degrees and radians. Simply select the correct unit from the dropdown menu before calculating. The tool uses the arc length formula that adjusts automatically based on your selected unit to ensure the result is accurate.
Yes, the calculator is designed to handle all valid angle values, from tiny fractions of a degree to full circles (360° or 2π radians). Just make sure to use the correct angle unit (degrees or radians) and an accurate radius value. The precision of your input will determine the precision of the tool output.
Yes. This arc length calculator is compatible with all devices, including mobiles and tablets.
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