Arc Length and Sector Area

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a sector in a circle?
Back
Area = (θ/360) * π * r², where θ is the angle in degrees and r is the radius.
2.
FLASHCARD QUESTION
Front
How do you calculate the arc length of a sector?
Back
Arc Length = (θ/360) * 2 * π * r, where θ is the angle in degrees and r is the radius.
3.
FLASHCARD QUESTION
Front
What is a sector in a circle?
Back
A sector is a portion of a circle enclosed by two radii and the arc between them.
4.
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.
5.
FLASHCARD QUESTION
Front
If a sector has an angle of 90°, what fraction of the circle does it represent?
Back
It represents 1/4 of the circle.
6.
FLASHCARD QUESTION
Front
What is the area of a sector with a radius of 8 in and an angle of 90°?
Back
Area = (90/360) * π * (8)² = 16π in².
7.
FLASHCARD QUESTION
Front
What is the circumference of a circle with a radius of 10 in?
Back
Circumference = 2 * π * r = 20π in.
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