What is a circle?
Circles - Area of Sector

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A circle is a shape consisting of all points in a plane that are at a given distance from a fixed point, called the center.
2.
FLASHCARD QUESTION
Front
What is the formula for the area of a circle?
Back
The area of a circle is given by the formula A = πr², where r is the radius.
3.
FLASHCARD QUESTION
Front
What is a sector of a circle?
Back
A sector is a portion of a circle enclosed by two radii and the arc between them.
4.
FLASHCARD QUESTION
Front
How do you calculate the area of a sector?
Back
The area of a sector can be calculated using the formula A = (θ/360) × πr², where θ is the central angle in degrees.
5.
FLASHCARD QUESTION
Front
What is the relationship between the area of a sector and the area of the whole circle?
Back
The area of a sector is a fraction of the area of the whole circle, determined by the ratio of the central angle to 360 degrees.
6.
FLASHCARD QUESTION
Front
What is the unit of area for circles?
Back
The unit of area for circles is typically square units, such as cm², m², in², etc.
7.
FLASHCARD QUESTION
Front
If the radius of a circle is doubled, how does the area change?
Back
If the radius is doubled, the area increases by a factor of four, since area is proportional to the square of the radius.
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