What is the distance formula used for?

The distance formula is used to calculate the distance between two points in a coordinate plane.

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

The area of a circle is given by the formula: $$A = \text{pi} \times r^2$$ .

What is the circumference of a circle?

The circumference of a circle is the distance around it, calculated by the formula: $$C = 2 \times \text{pi} \times r$$ .

How do you determine the center of a circle from its equation?

From the equation $$(x - h)^2 + (y - k)^2 = r^2$$ , the center is (h, k).

What does the term 'diameter' refer to in a circle?

The diameter is the longest distance across the circle, passing through the center, and is twice the radius.

If a circle has a radius of 3, what is its diameter?

The diameter is 6, calculated as $$d = 2 \times r = 2 \times 3$$ .

What is the significance of the center in a circle?

The center is the point from which all points on the circle are equidistant.

How can you find the center of a circle given its equation?

Rearrange the equation to the standard form and identify (h, k) from $$(x - h)^2 + (y - k)^2 = r^2$$ .

Unit 3.2, Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

2.

FLASHCARD QUESTION

Front

What is the formula to find the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

3.

FLASHCARD QUESTION

Front

What are the coordinates of the center of a circle?

Back

4.

FLASHCARD QUESTION

Front

What is the radius of a circle?

Back

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

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of the equation of a circle?

Back

7.

FLASHCARD QUESTION

Front

If the center of a circle is at (2, 1) and the radius is 4, what is the equation of the circle?

Back

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