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Assessment

Flashcard

Mathematics

8th 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 form of the equation of a circle?

Back

The standard form of the 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 of a circle from its equation?

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 are the coordinates of the center of a circle given by the equation (x - 4)² + (y - 3)² = 25?

Back

The center of the circle is at the point (4, 3).

4.

FLASHCARD QUESTION

Front

If the equation of a circle is (x + 2)² + (y - 5)² = 16, what is the radius?

Back

The radius is 4 units, since √16 = 4.

5.

FLASHCARD QUESTION

Front

What is the equation of a circle with center (0, 0) and radius 3?

Back

The equation is x² + y² = 9.

6.

FLASHCARD QUESTION

Front

How do you convert the general form of a circle's equation to standard form?

Back

To convert, complete the square for the x and y terms in the equation Ax² + Ay² + Bx + Cy + D = 0.

7.

FLASHCARD QUESTION

Front

What is the center and radius of the circle given by the equation (x - 1)² + (y + 2)² = 9?

Back

Center: (1, -2), Radius: 3 units.

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