What is the area of a sector with a radius of 4 inches and an angle of 90 degrees?

Convert 90 degrees to radians: $$90 \times \frac{\text{π}}{180} = \frac{\text{π}}{2}$$ . Then, use the formula: $$A = \frac{1}{2} \times 4^2 \times \frac{\text{π}}{2} = 8\text{π} \text{ in}^2$$ .

If a pie has a diameter of 12 inches, what is the area of one slice if it is cut into 8 equal slices?

First, find the radius: r = 6 inches. The area of the pie is $$A = \text{π} \times (6)^2 = 36\text{π} \text{ in}^2$$ . Each slice area is $$\frac{36\text{π}}{8} = 4.5\text{π} \text{ in}^2$$ .

What is the area of a clock face with a diameter of 10 inches?

The radius is 5 inches. The area is $$A = \text{π} \times (5)^2 = 25\text{π} \text{ in}^2$$ .

How do you find the area of a shaded region in a circle?

To find the area of a shaded region, subtract the area of the unshaded part from the total area of the circle.

What is the area of a sector that represents 1/4 of a circle?

The area of the sector is $$A = \frac{1}{4} \times \text{π} \times r^2$$ .

If a semicircle has a radius of 3 ft, what is the area?

The area of the semicircle is $$A = \frac{1}{2} \times \text{π} \times (3)^2 = \frac{9\text{π}}{2} \text{ ft}^2$$ .

What is the area of a sector with a radius of 8 cm and an angle of 45 degrees?

Convert 45 degrees to radians: $$45 \times \frac{\text{π}}{180} = \frac{\text{π}}{4}$$ . Then, use the formula: $$A = \frac{1}{2} \times 8^2 \times \frac{\text{π}}{4} = 8\text{π} \text{ cm}^2$$ .

What is the area of a shaded region in a circle with a radius of 7 cm, if the unshaded area is 15 cm²?

First, find the total area of the circle: $$A = \text{π} \times (7)^2 = 49\text{π} \text{ cm}^2$$ . Then, subtract the unshaded area: Shaded area = $$49\text{π} - 15 \text{ cm}^2$$ .

Area of Sectors of Circles Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

2.

FLASHCARD QUESTION

Front

How do you find the area of a sector of a circle?

Back

3.

FLASHCARD QUESTION

Front

What is the relationship between degrees and radians?

Back

4.

FLASHCARD QUESTION

Front

If a circle has a radius of 5 cm, what is the area of the entire circle?

Back

5.

FLASHCARD QUESTION

Front

What is the area of a semicircle?

Back

6.

FLASHCARD QUESTION

Front

How do you convert degrees to radians?

Back

7.

FLASHCARD QUESTION

Front

What is the area of a sector with a radius of 10 cm and an angle of 60 degrees?

Back

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