What is the relationship between diameter and radius?

The diameter d of a circle is twice the radius: d = 2r.

How do you find the circumference of a circle with a diameter of 12 inches?

Using the formula C = $$\text{π}d$$ , the circumference is C = $$\text{π}(12) = 12\text{π}$$ inches.

What is the approximate circumference of a circle with a radius of 3 m?

Using the formula C = $$2\text{π}r$$ , the approximate circumference is C ≈ 18.84 m.

What is the exact area of a circle with a radius of 2 km?

Using the formula A = $$\text{π}r^2$$ , the exact area is A = $$4\text{π}$$ km².

What is the formula to convert the area from square meters to square feet?

To convert from square meters to square feet, multiply by 10.764: Area (ft²) = Area (m²) × 10.764.

What is the difference between exact and approximate values in circles?

Exact values use π in calculations, while approximate values use a numerical approximation of π (like 3.14).

Circles - Exact and Approx. Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a circle?

Back

A circle is a shape consisting of all points in a plane that are at a given distance (radius) from a fixed point (center).

2.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

4.

FLASHCARD QUESTION

Front

What is the value of π (pi)?

Back

5.

FLASHCARD QUESTION

Front

How do you calculate the area of a circle with a radius of 4 cm?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

If the diameter of a circle is 10 cm, what is the radius?

Back

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