Equation of a circle
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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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
(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 (x + 2)² + (y - 3)² = 4?
Back
The radius is the square root of the right side of the equation. Here, r = √4 = 2.
3.
FLASHCARD QUESTION
Front
Write the equation of a circle with center (7, 0) and radius 3.
Back
(x - 7)² + (y - 0)² = 3² or (x - 7)² + y² = 9.
4.
FLASHCARD QUESTION
Front
What is the circumference of a circle with radius r?
Back
Circumference = 2πr.
5.
FLASHCARD QUESTION
Front
What is the area of a circle with radius r?
Back
Area = πr².
6.
FLASHCARD QUESTION
Front
Convert the general equation of a circle x² + y² + 4x - 6y + 9 = 0 to standard form.
Back
Complete the square to get (x + 2)² + (y - 3)² = 4.
7.
FLASHCARD QUESTION
Front
What does the term 'diameter' refer to in a circle?
Back
The diameter is twice the radius and is the longest distance across the circle.
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