Circle Equations Flashcard

Circle Equations Flashcard

Assessment

Flashcard

Mathematics

8th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

The standard form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

2.

FLASHCARD QUESTION

Front

How do you find the radius from the equation of a circle?

Back

The radius can be found by taking the square root of the number on the right side of the equation in standard form: (x - h)² + (y - k)² = r².

3.

FLASHCARD QUESTION

Front

What is the center of the circle in the equation (x - 1)² + (y + 3)² = 25?

Back

The center of the circle is (1, -3).

4.

FLASHCARD QUESTION

Front

If the radius of a circle is 5, what is the equation of the circle centered at (2, -1)?

Back

The equation of the circle is (x - 2)² + (y + 1)² = 25.

5.

FLASHCARD QUESTION

Front

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

Back

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

6.

FLASHCARD QUESTION

Front

In the equation (x + 4)² + (y - 2)² = 36, what is the radius?

Back

The radius is 6, since √36 = 6.

7.

FLASHCARD QUESTION

Front

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

Back

The center can be determined from the equation (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center.

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