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Equations of Circles

Equations of Circles

Assessment

Flashcard

Mathematics

6th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard equation of a circle?

Back

The standard equation of a circle 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 the form (x - h)² + (y - k)² = r².

3.

FLASHCARD QUESTION

Front

What does the center of a circle represent in its equation?

Back

The center of a circle is represented by the coordinates (h, k) in the standard equation (x - h)² + (y - k)² = r².

4.

FLASHCARD QUESTION

Front

If the equation of a circle is (x + 1)² + (y - 2)² = 9, what is the radius?

Back

The radius is 3, since √9 = 3.

5.

FLASHCARD QUESTION

Front

What is the diameter of a circle?

Back

The diameter is twice the radius of the circle.

6.

FLASHCARD QUESTION

Front

In the equation (x - 5)² + (y + 2)² = 16, what is the center of the circle?

Back

The center of the circle is (5, -2).

7.

FLASHCARD QUESTION

Front

How do you determine the diameter from the equation of a circle?

Back

The diameter can be found by multiplying the radius by 2.

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