Arc Length and Sector Area

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a sector?
Back
The area of a sector can be calculated using the formula: Area = (θ/360) * π * r², where θ is the angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
2.
FLASHCARD QUESTION
Front
What is the relationship between an arc and the circumference of a circle?
Back
An arc is a portion of the circumference of a circle.
Tags
CCSS.HSG.C.B.5
3.
FLASHCARD QUESTION
Front
How do you find the length of an arc given the radius and the central angle?
Back
The length of an arc can be calculated using the formula: Arc Length = (θ/360) * 2 * π * r, where θ is the angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
4.
FLASHCARD QUESTION
Front
What is the definition of a sector in a circle?
Back
A sector is a region of a circle bounded by two radii and the arc between them.
5.
FLASHCARD QUESTION
Front
What is the formula for the circumference of a circle?
Back
The circumference of a circle can be calculated using the formula: C = 2 * π * r, where r is the radius.
Tags
CCSS.7.G.B.4
6.
FLASHCARD QUESTION
Front
If the radius of a circle is doubled, how does that affect the area of the sector?
Back
If the radius is doubled, the area of the sector increases by a factor of four, since area is proportional to the square of the radius.
Tags
CCSS.HSG.C.B.5
7.
FLASHCARD QUESTION
Front
What is the relationship between the angle of a sector and its area?
Back
The area of a sector is directly proportional to the angle of the sector; as the angle increases, the area of the sector increases.
Tags
CCSS.HSG.C.B.5
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