What is the area of a sector with a radius of 5 cm and a central angle of 60 degrees?

Using the formula: $$A = \frac{60}{360} \times \\pi (5)^2 = \frac{1}{6} \times 25\\pi = \frac{25}{6}\\pi \\ cm^2$$ .

How do you convert the diameter of a circle to radius?

To convert diameter to radius, use the formula: $$r = \frac{d}{2}$$ .

What is the area of a sector with a radius of 10 cm and a central angle of 120 degrees?

Using the formula: $$A = \frac{120}{360} \times \\pi (10)^2 = \frac{1}{3} \times 100\\pi = \frac{100}{3}\\pi \\ cm^2$$ .

What is the area of a circle with a diameter of 14 cm?

First, find the radius: $$r = \frac{14}{2} = 7 \\ cm$$ . Then, use the area formula: $$A = \\pi (7)^2 = 49\\pi \\ cm^2$$ .

What is the area of a sector with a radius of 3 cm and a central angle of 30 degrees?

Using the formula: $$A = \frac{30}{360} \times \\pi (3)^2 = \frac{1}{12} \times 9\\pi = \frac{3}{4}\\pi \\ cm^2$$ .

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

Using the formula: $$A = \frac{45}{360} \times \\pi (8)^2 = \frac{1}{8} \times 64\\pi = 8\\pi \\ cm^2$$ .

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

Using the formula: $$A = \frac{150}{360} \times \\pi (6)^2 = \frac{5}{12} \times 36\\pi = 15\\pi \\ cm^2$$ .

What is the area of a sector with a radius of 12 cm and a central angle of 180 degrees?

Using the formula: $$A = \frac{180}{360} \times \\pi (12)^2 = \frac{1}{2} \times 144\\pi = 72\\pi \\ cm^2$$ .

Geometry 11.2 Area of Sectors Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula to find the area of a sector?

Back

2.

FLASHCARD QUESTION

Front

What is the formula to find the area of a circle?

Back

3.

FLASHCARD QUESTION

Front

How do you find the radius from the diameter?

Back

4.

FLASHCARD QUESTION

Front

What is the area of a circle with a radius of 7 cm?

Back

5.

FLASHCARD QUESTION

Front

What is the area of a sector with a central angle of 90 degrees and a radius of 4 cm?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the area of a sector and the area of a circle?

Back

The area of a sector is a fraction of the area of the circle, determined by the ratio of the central angle to 360 degrees.

7.

FLASHCARD QUESTION

Front

If the area of a circle is 36π cm², what is the radius?

Back

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