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How do we Find the Length of an Arc? Video Lecture | Mathematics for Digital SAT
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FAQs on How do we Find the Length of an Arc? Video Lecture - Mathematics for Digital 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).
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Dec 27, 2024 Last updated |
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