How do you find the radius if you know the diameter?

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

What is the relationship between diameter and circumference?

The circumference is equal to the diameter multiplied by π: $$C = \text{π}d$$ .

What is the relationship between radius and circumference?

The circumference can also be calculated using the radius: $$C = 2\text{π}r$$ .

What is the relationship between area and radius?

The area of a circle increases with the square of the radius: $$A = \text{π}r^2$$ .

What is the relationship between area and diameter?

The area can be expressed in terms of diameter: $$A = \frac{\text{π}}{4}d^2$$ .

What is the circumference of a circle with a radius of 3 cm?

Using the formula $$C = 2\text{π}r$$ , the circumference is $$C = 2\text{π}(3) = 6\text{π} \text{ cm}$$ .

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

Using the formula $$A = \text{π}r^2$$ , first find the radius: $$r = \frac{10}{2} = 5$$ . Then, $$A = \text{π}(5^2) = 25\text{π} \text{ m}^2$$ .

If the circumference of a circle is 12π cm, what is the diameter?

Using the formula $$C = \text{π}d$$ , we find $$d = 12 \text{ cm}$$ .

Circles- Radius, Diameter, Circumference, and Area Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the diameter of a circle?

Back

The diameter is the distance across a circle through its center, equal to twice the radius.

2.

FLASHCARD QUESTION

Front

What is the radius of a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

3.

FLASHCARD QUESTION

Front

What is the circumference of a circle?

Back

The circumference is the distance around the circle.

4.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

5.

FLASHCARD QUESTION

Front

What is the area of a circle?

Back

The area is the space contained within the circle.

6.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

7.

FLASHCARD QUESTION

Front

How do you find the diameter if you know the radius?

Back

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