What is the formula for the area of a sector?
Arc Length and Area Sector

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Area = (θ/360) × πr², where θ is the central angle in degrees and r is the radius.
2.
FLASHCARD QUESTION
Front
How do you calculate the length of an arc?
Back
Arc Length = (θ/360) × 2πr, where θ is the central angle in degrees and r is the radius.
3.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the area of a sector?
Back
The area of a sector increases with the square of the radius.
4.
FLASHCARD QUESTION
Front
If the radius of a circle is doubled, how does the area of the sector change?
Back
The area of the sector increases by a factor of four.
5.
FLASHCARD QUESTION
Front
What is the central angle of a full circle in degrees?
Back
360 degrees.
6.
FLASHCARD QUESTION
Front
What is the formula for the circumference of a circle?
Back
Circumference = 2πr, where r is the radius.
7.
FLASHCARD QUESTION
Front
If the central angle of a sector is 90 degrees, what fraction of the circle does it represent?
Back
1/4 of the circle.
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