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

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15 questions

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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

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