What is the formula for finding the arc length of a circle?
Arc Length - Hoover

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The arc length (L) can be calculated using the formula: L = r * θ, where r is the radius and θ is the angle in radians.
2.
FLASHCARD QUESTION
Front
How do you convert degrees to radians?
Back
To convert degrees to radians, use the formula: radians = degrees × (π/180).
3.
FLASHCARD QUESTION
Front
If the radius of a circle is 5 cm and the angle is 60 degrees, what is the arc length?
Back
First, convert 60 degrees to radians: 60 × (π/180) = π/3. Then, use the formula: L = r * θ = 5 * (π/3) = (5π/3) cm.
4.
FLASHCARD QUESTION
Front
What is a minor arc in a circle?
Back
A minor arc is an arc that is smaller than a semicircle, meaning it subtends an angle of less than 180 degrees at the center of the circle.
5.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the arc length?
Back
The arc length is directly proportional to the radius; as the radius increases, the arc length increases for a given angle.
6.
FLASHCARD QUESTION
Front
How do you find the length of a minor arc given the radius and the angle in degrees?
Back
Convert the angle from degrees to radians, then use the formula: L = r * θ.
7.
FLASHCARD QUESTION
Front
What is the measure of a full circle in radians?
Back
A full circle measures 2π radians.
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