What is the area of a sector with a radius of 5 m and an angle of 60 degrees?

First convert 60 degrees to radians: $$60 \times \frac{\pi}{180} = \frac{\pi}{3}$$ . Then, use the formula: $$A = \frac{1}{2} (5)^2 \left(\frac{\pi}{3}\right) = \frac{25\pi}{6} m^2$$ .

What is the area of a sector with a radius of 10 m and an angle of 90 degrees?

Convert 90 degrees to radians: $$90 \times \frac{\pi}{180} = \frac{\pi}{2}$$ . Then, use the formula: $$A = \frac{1}{2} (10)^2 \left(\frac{\pi}{2}\right) = 25\pi m^2$$ .

What is the area of a sector with a radius of 4 m and an angle of 45 degrees?

Convert 45 degrees to radians: $$45 \times \frac{\pi}{180} = \frac{\pi}{4}$$ . Then, use the formula: $$A = \frac{1}{2} (4)^2 \left(\frac{\pi}{4}\right) = 4\pi m^2$$ .

What is the area of a sector with a radius of 3 m and an angle of 120 degrees?

Convert 120 degrees to radians: $$120 \times \frac{\pi}{180} = \frac{2\pi}{3}$$ . Then, use the formula: $$A = \frac{1}{2} (3)^2 \left(\frac{2\pi}{3}\right) = 3\pi m^2$$ .

What is the formula for finding the area of a shaded sector?

The area of a shaded sector can be found using the formula: $$A = \frac{\theta}{360} \times \pi r^2$$ for degrees, or $$A = \frac{1}{2} r^2 \theta$$ for radians.

If a sector has an area of 9π yd², what is the radius if the angle is 60 degrees?

Using the formula for area: $$A = \frac{\theta}{360} \times \pi r^2$$ , we can solve for $$r$$ . Here, $$9\pi = \frac{60}{360} \times \pi r^2$$ , leading to $$r = 6 yd$$ .

What is the area of a sector with a radius of 8 m and an angle of 30 degrees?

Convert 30 degrees to radians: $$30 \times \frac{\pi}{180} = \frac{\pi}{6}$$ . Then, use the formula: $$A = \frac{1}{2} (8)^2 \left(\frac{\pi}{6}\right) = \frac{32\pi}{6} = \frac{16\pi}{3} m^2$$ .

What is the area of a sector with a radius of 12 m and an angle of 150 degrees?

Convert 150 degrees to radians: $$150 \times \frac{\pi}{180} = \frac{5\pi}{6}$$ . Then, use the formula: $$A = \frac{1}{2} (12)^2 \left(\frac{5\pi}{6}\right) = 60\pi m^2$$ .

Arc Length and Sector Area Make-Up Assignment Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the area of a sector of a circle?

Back

2.

FLASHCARD QUESTION

Front

How do you convert degrees to radians?

Back

3.

FLASHCARD QUESTION

Front

What is the relationship between arc length and the radius of a circle?

Back

4.

FLASHCARD QUESTION

Front

What is the area of a circle?

Back

5.

FLASHCARD QUESTION

Front

If the radius of a circle is 7 m, what is the area of the circle?

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

7.

FLASHCARD QUESTION

Front

How do you find the area of a sector given the radius and angle in degrees?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

10 questions

Secondary storage

Flashcard

•

9th - 11th Grade

8 questions

Unit 3.7 Firm's costs, Revenue & Objective

Flashcard

•

11th Grade

15 questions

7517 01 Programming Basics

Flashcard

•

10th Grade - University

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

10 questions

Evaluating Piecewise Functions Practice

Quiz

•

11th Grade

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

15 questions

Module 3 Topic 1 Vocabulary Quiz

Quiz

•

10th Grade

16 questions

Circle Vocabulary

Quiz

•

9th - 10th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

10 questions

Multiplying Fractions with Area Models

Interactive video

•

6th - 10th Grade