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How do we Find the Length of an Arc? Video Lecture | Mathematics for SAT

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FAQs on How do we Find the Length of an Arc? Video Lecture - Mathematics for SAT

1. How do you find the length of an arc using the formula?
Ans. To find the length of an arc, you can use the formula: Length of Arc = (θ/360) x 2πr, where θ is the central angle in degrees and r is the radius of the circle.
2. Can you find the length of an arc without knowing the central angle?
Ans. Yes, you can find the length of an arc without knowing the central angle by using the formula: Length of Arc = (s/r) x 2πr, where s is the length of the arc and r is the radius of the circle.
3. How do you convert the central angle from degrees to radians when finding the length of an arc?
Ans. To convert the central angle from degrees to radians, you can use the formula: θ (radians) = (π/180) x θ (degrees). Once you have the angle in radians, you can use it in the arc length formula.
4. What is the relationship between the length of an arc and the circumference of a circle?
Ans. The length of an arc is a portion of the circumference of a circle. The circumference of a circle is the total distance around the circle, while the length of an arc is a fraction of that total distance.
5. Can you find the length of an arc if you only know the radius and the area of the sector?
Ans. Yes, you can find the length of an arc if you know the radius and the area of the sector. Use the formula: Length of Arc = (Area of Sector / 0.5r).
185 videos|124 docs|75 tests

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