An easy to use online calculator to calculate the arc length \( s \), the length \( d \) of the chord and the area \( A \) of a sector given its radius \( r \) and its central angle \( t \).
The formulas of the arc length \( s \), the area \( A \) and the length \( d \) of the chord of the sector with angle \( \theta \) within a circle of radius \( r \), shown below, are given by:
\[ s = r \theta \]
\[ A = \frac{1}{2} \theta r^2 \]
\[ d = 2 r \sin(\theta/2) \]
Enter the radius and central angle \( \theta \). The two angle inputs are synchronized - change one and the other updates automatically. The angle should be between:
If you enter a value outside these ranges, it will be automatically adjusted to the nearest valid value.
The outputs are:
Tip: Click on the preset buttons (π/6, 30°, etc.) for common angles.
Enter radius and central angle \( \theta \) (radians and degrees are synchronized)
Click on preset buttons for common angles. Values outside limits will be adjusted.
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