Arc Length and Sector Area
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a circle?
Back
A = πr², where A is the area and r is the radius.
2.
FLASHCARD QUESTION
Front
How do you calculate the area of a sector of a circle?
Back
Area of sector = (θ/360) × πr², where θ is the central angle in degrees.
3.
FLASHCARD QUESTION
Front
What is the formula for arc length?
Back
Arc length = (θ/360) × 2πr, where θ is the central angle in degrees.
4.
FLASHCARD QUESTION
Front
If a pizza has a diameter of 14 inches, what is its radius?
Back
Radius = diameter/2 = 14/2 = 7 inches.
5.
FLASHCARD QUESTION
Front
How many degrees are in a full circle?
Back
There are 360 degrees in a full circle.
6.
FLASHCARD QUESTION
Front
What is the area of a sector with a central angle of 90° and a radius of 10 inches?
Back
Area = (90/360) × π(10)² = 25π ≈ 78.54 in².
7.
FLASHCARD QUESTION
Front
What is the area of a sector with a central angle of 180° and a radius of 5 inches?
Back
Area = (180/360) × π(5)² = 12.5π ≈ 39.27 in².
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