What is the area of a sector with a radius of 12 cm and a central angle of 30 degrees?

Using the formula: $$\text{Area} = \frac{30}{360} \times \text{π} \times 12^2 = \frac{1}{12} \times \text{π} \times 144 = 12\text{π} \text{ cm}^2$$ .

What is the area of a sector with a radius of 15 cm and a central angle of 180 degrees?

Using the formula: $$\text{Area} = \frac{180}{360} \times \text{π} \times 15^2 = \frac{1}{2} \times \text{π} \times 225 = \frac{225\text{π}}{2} \text{ cm}^2$$ .

What is the area of a sector with a radius of 9 cm and a central angle of 270 degrees?

Using the formula: $$\text{Area} = \frac{270}{360} \times \text{π} \times 9^2 = \frac{3}{4} \times \text{π} \times 81 = \frac{243\text{π}}{4} \text{ cm}^2$$ .

What is the area of a sector with a radius of 6 cm and a central angle of 150 degrees?

Using the formula: $$\text{Area} = \frac{150}{360} \times \text{π} \times 6^2 = \frac{5}{12} \times \text{π} \times 36 = 15\text{π} \text{ cm}^2$$ .

What is the area of a sector with a radius of 4 cm and a central angle of 360 degrees?

Using the formula: $$\text{Area} = \frac{360}{360} \times \text{π} \times 4^2 = 1 \times \text{π} \times 16 = 16\text{π} \text{ cm}^2$$ .

What is the area of a sector with a radius of 3 cm and a central angle of 240 degrees?

Using the formula: $$\text{Area} = \frac{240}{360} \times \text{π} \times 3^2 = \frac{2}{3} \times \text{π} \times 9 = 6\text{π} \text{ cm}^2$$ .

What is the area of a sector with a radius of 2 cm and a central angle of 30 degrees?

Using the formula: $$\text{Area} = \frac{30}{360} \times \text{π} \times 2^2 = \frac{1}{12} \times \text{π} \times 4 = \frac{1\text{π}}{3} \text{ cm}^2$$ .

Area of Sectors Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a sector of a circle?

Back

A region bounded by two radii of the circle and their intercepted arc.

2.

FLASHCARD QUESTION

Front

How do you calculate the area of a sector?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the area of a sector when the angle is given in radians?

Back

4.

FLASHCARD QUESTION

Front

If the radius of a circle is 7 cm and the central angle is 60 degrees, what is the area of the sector?

Back

5.

FLASHCARD QUESTION

Front

What is the area of a sector with a radius of 10 cm and a central angle of 90 degrees?

Back

6.

FLASHCARD QUESTION

Front

What is the area of a sector with a radius of 5 cm and a central angle of 120 degrees?

Back

7.

FLASHCARD QUESTION

Front

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

Back

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