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- To find the arc length of a function, you can use the formula L = ∫b a√1 + (f′ (x))2dx1. Here, L is the arc length, a and b are the limits of integration, and f′(x) is the derivative of the function. You can also calculate arc length without radius using the central angle and the sector area2. To do this, you need to:
- Multiply the area by 2 and divide the result by the central angle in radians.
- Find the square root of this division.
- Multiply this root by the central angle again to get the arc length. The units will be the square root of the sector area units.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.To find the arc length of a function, use the formula L = ∫b a√1 + (f′ (x))2dx. ∫6 0√1 + (2x + 2)2dx Evaluate the integral. Tap for more steps... 192.02722791 + ln(sec (1.49948886) + tan (1.49948886) sec (1.10714871) + tan (1.10714871)) 4 The result can be shown in multiple forms.www.mathway.com/popular-problems/Calculus/520…To calculate arc length without radius, you need the central angle and the sector area: Multiply the area by 2 and divide the result by the central angle in radians. Find the square root of this division. Multiply this root by the central angle again to get the arc length. The units will be the square root of the sector area units.www.omnicalculator.com/math/arc-length - People also ask
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