Search Header Logo
Equations of Circles

Equations of Circles

Assessment

Flashcard

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

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 center of a circle from its equation in general form?

Back

To find the center from the general form Ax² + Ay² + Bx + Cy + D = 0, rearrange to standard form and identify (h, k) as (-B/2A, -C/2A).

3.

FLASHCARD QUESTION

Front

What is the radius of a circle given in standard form?

Back

The radius is the square root of the value on the right side of the equation in standard form (x - h)² + (y - k)² = r².

4.

FLASHCARD QUESTION

Front

Convert the general equation x² + y² + 6x - 8y - 12 = 0 to standard form.

Back

(x + 3)² + (y - 4)² = 25.

5.

FLASHCARD QUESTION

Front

What does the term 'completing the square' mean in the context of circles?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, which helps in rewriting the equation in standard form.

6.

FLASHCARD QUESTION

Front

Given the equation x² + y² - 4x + 6y - 12 = 0, find the center and radius.

Back

Center: (2, -3), Radius: 5.

7.

FLASHCARD QUESTION

Front

What is the significance of the coefficients in the general form of a circle's equation?

Back

The coefficients help determine the center and radius of the circle when rearranged into standard form.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?