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

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Quizizz Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
Back
The area of a sector is given by the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.
2.
FLASHCARD QUESTION
Front
How do you calculate the arc length of a sector?
Back
The arc length \( L \) of a sector is calculated using the formula: \( L = \frac{\theta}{360} \times 2\pi r \), where \( \theta \) 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. If the radius doubles, the area of the sector increases by a factor of four.
4.
FLASHCARD QUESTION
Front
If a circle has a radius of 10 cm and a central angle of 90°, what is the area of the sector?
Back
Using the formula, the area is: \( A = \frac{90}{360} \times \pi (10)^2 = 25\pi \, \text{cm}^2 \).
5.
FLASHCARD QUESTION
Front
What is the area of a sector with a radius of 5 cm and a central angle of 60°?
Back
The area is: \( A = \frac{60}{360} \times \pi (5)^2 = \frac{25\pi}{6} \, \text{cm}^2 \).
6.
FLASHCARD QUESTION
Front
Define a sector in a circle.
Back
A sector is a portion of a circle enclosed by two radii and the arc between them.
7.
FLASHCARD QUESTION
Front
What is the formula for the circumference of a circle?
Back
The circumference \( C \) of a circle is given by the formula: \( C = 2\pi r \), where \( r \) is the radius.
Create a free account and access millions of resources
Similar Resources on Quizizz
15 questions
ALG I Circumference and Area of A Circle

Flashcard
•
9th - 12th Grade
15 questions
Topic 10: Flashcard

Flashcard
•
9th - 12th Grade
15 questions
Topic 10: Flashcard

Flashcard
•
9th - 12th Grade
11 questions
Geometry Mixed Review

Flashcard
•
9th - 12th Grade
15 questions
Unit 8: Circles Final Exam Review

Flashcard
•
9th - 12th Grade
15 questions
Geometry B Circles Test Review

Flashcard
•
9th - 12th Grade
12 questions
Arc Length and Sector Area

Flashcard
•
9th - 12th Grade
11 questions
Arc Length and Sector Area

Flashcard
•
9th - 12th Grade
Popular Resources on Quizizz
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade