What is the area of a circle with a diameter of 10 cm?

Using the formula $$A = \frac{1}{4} \times \text{π} \times d^2$$ , the area is approximately $$A = 78.54 \text{ cm}^2$$ .

What is the relationship between radius and diameter?

The radius is half of the diameter: $$r = \frac{d}{2}$$ .

If the area of a circle is 154 cm², what is the radius?

Using the formula $$A = \text{π} \times r^2$$ , the radius is approximately @@r = rac{A}{ ext{π}} = rac{154}{3.14} ext{ cm} ightarrow r ext{ is approximately } 7 ext{ cm}@@.

What is the circumference of a circle with a radius of 4 m?

Using the formula $$C = 2 \times \text{π} \times r$$ , the circumference is approximately $$C = 25.13 \text{ m}$$ .

How do you find the area of a circle if you only have the circumference?

First, find the diameter using $$d = \frac{C}{\text{π}}$$ , then use the area formula $$A = \frac{1}{4} \times \text{π} \times d^2$$ .

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

Using the formula $$A = \frac{1}{4} \times \text{π} \times d^2$$ , the area is approximately $$A = 153.86 \text{ cm}^2$$ .

If the radius of a circle is doubled, how does the area change?

If the radius is doubled, the area increases by a factor of four, since area is proportional to the square of the radius.

Circle Area and Circumference Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

Tags

CCSS.7.G.B.4

2.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

Tags

CCSS.7.G.B.4

3.

FLASHCARD QUESTION

Front

If the radius of a circle is 7 cm, what is the diameter?

Back

Tags

CCSS.7.G.B.4

4.

FLASHCARD QUESTION

Front

What is the area of a circle with a radius of 5 m?

Back

Tags

CCSS.7.G.B.4

5.

FLASHCARD QUESTION

Front

How do you convert diameter to radius?

Back

Tags

CCSS.7.G.B.4

6.

FLASHCARD QUESTION

Front

What is the value of π (pi) approximately?

Back

The value of π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

7.

FLASHCARD QUESTION

Front

If a circle has a circumference of 31.4 m, what is its diameter?

Back

Tags

CCSS.7.G.B.4

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