What is the formula for arc length in a circle?
Arc Length & Area Of Sectors Review

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The formula for arc length (L) is given by: L = r * θ, where r is the radius and θ is the central 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 formula for the area of a sector in a circle?
Back
The area (A) of a sector is given by: A = (1/2) * r^2 * θ, where r is the radius and θ is the central angle in radians.
4.
FLASHCARD QUESTION
Front
If a circle has a radius of 5 cm, what is the circumference?
Back
The circumference (C) is given by: C = 2 * π * r = 2 * π * 5 = 10π cm.
5.
FLASHCARD QUESTION
Front
What is the relationship between arc length and the radius of a circle?
Back
Arc length is directly proportional to both the radius and the central angle of the circle.
6.
FLASHCARD QUESTION
Front
How do you find the central angle if you know the arc length and radius?
Back
Use the formula: θ = L/r, where L is the arc length and r is the radius.
7.
FLASHCARD QUESTION
Front
What is the area of a circle with a radius of 7 cm?
Back
The area (A) is given by: A = π * r^2 = π * 7^2 = 49π cm².
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