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Arc Length and Area of a Sector in a Circle Video Lecture | Mathematics for SAT

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FAQs on Arc Length and Area of a Sector in a Circle Video Lecture - Mathematics for SAT

1. What is the formula for calculating the arc length of a sector in a circle?
Ans. The formula for calculating the arc length of a sector in a circle is given by: Arc Length = 2πr (θ/360), where r is the radius of the circle and θ is the central angle of the sector.
2. How do you find the area of a sector in a circle?
Ans. To find the area of a sector in a circle, you can use the formula: Area = (θ/360)πr^2, where r is the radius of the circle and θ is the central angle of the sector.
3. What is the difference between the arc length and the area of a sector in a circle?
Ans. The arc length of a sector in a circle refers to the length of the portion of the circle's circumference that makes up the sector, while the area of a sector refers to the space enclosed by the sector within the circle.
4. Can you calculate the arc length and area of a sector in a circle without knowing the central angle?
Ans. No, in order to calculate the arc length and area of a sector in a circle, you need to know the central angle of the sector. Without the central angle, you won't be able to accurately determine these values.
5. How can the formulas for arc length and area of a sector in a circle be helpful in real-life applications?
Ans. The formulas for arc length and area of a sector in a circle can be useful in various real-life scenarios such as calculating the distance traveled by a vehicle along a curved path or estimating the amount of land enclosed by a circular fence.
185 videos|124 docs|75 tests

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