What is the formula for the area of a sector?

The area of a sector can be calculated using the formula $$A = \frac{\theta}{360} \times \pi r^2$$ .

If the radius of a circle is 4 meters, what is the circumference?

The circumference is $$C = 2\pi(4) = 8\pi$$ meters.

What is the formula for the area of a circle?

The area of a circle is given by the formula $$A = \pi r^2$$ .

What is the difference between arc length and circumference?

Arc length is the distance along the curve of a circle between two points, while circumference is the total distance around the circle.

How do you calculate the area of a sector with a central angle of 90 degrees and a radius of 5 meters?

Using the formula $$A = \frac{\theta}{360} \times \pi r^2$$ , the area is $$A = \frac{90}{360} \times \pi (5^2) = \frac{1}{4} \times 25\pi = \frac{25\pi}{4}$$ square meters.

What is the term for the distance around a circle?

The distance around a circle is called the circumference.

If a circle has a circumference of 20π meters, what is its radius?

Using the formula $$C = 2\pi r$$ , we can solve for $$r$$ : $$20\pi = 2\pi r \\ r = 10$$ meters.

What is the measure of a full circle in degrees?

A full circle measures 360 degrees.

Arc Length and Sector Area Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

Tags

CCSS.7.G.B.4

2.

FLASHCARD QUESTION

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

3.

FLASHCARD QUESTION

Front

What is a minor arc?

Back

A minor arc is the shorter arc connecting two points on a circle.

Tags

CCSS.HSG.C.B.5

4.

FLASHCARD QUESTION

Front

What is a sector of a circle?

Back

A sector is the region enclosed by two radii and the arc between them.

5.

FLASHCARD QUESTION

Front

How do you calculate the circumference of a circle with a radius of 6 yards?

Back

Tags

CCSS.7.G.B.4

6.

FLASHCARD QUESTION

Front

What is the relationship between the radius and the diameter of a circle?

Back

7.

FLASHCARD QUESTION

Front

How do you find the arc length of a circle?

Back

Tags

CCSS.HSG.C.B.5

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