Geometry Arc Length
Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for arc length in a circle?
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
What is the relationship between the radius and the arc length?
Back
The arc length is directly proportional to the radius of the circle; as the radius increases, the arc length increases.
4.
FLASHCARD QUESTION
Front
If the radius of a circle is 5 feet 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) feet.
5.
FLASHCARD QUESTION
Front
What is the arc length of a semicircle with a radius of 10 feet?
Back
The angle for a semicircle is 180 degrees or π radians. Using the formula: L = r * θ = 10 * π = 10π feet.
6.
FLASHCARD QUESTION
Front
Define a sector in a circle.
Back
A sector is a portion of a circle enclosed by two radii and the arc between them.
7.
FLASHCARD QUESTION
Front
What is the area of a sector with radius r and angle θ in radians?
Back
The area (A) of a sector can be calculated using the formula: A = (1/2) * r^2 * θ.
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