Equation Of a Circle
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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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 of the circle and r is the radius.
Tags
CCSS.HSG.GPE.A.1
2.
FLASHCARD QUESTION
Front
How do you find the center of a circle from its equation?
Back
To find the center of a circle from its equation in standard form (x - h)² + (y - k)² = r², identify the values of h and k. The center is (h, k).
Tags
CCSS.HSG.GPE.A.1
3.
FLASHCARD QUESTION
Front
What is the radius of a circle in the equation (x - 4)² + (y - 1)² = 49?
Back
The radius is 7, since r² = 49, and r = √49 = 7.
Tags
CCSS.HSG.GPE.A.1
4.
FLASHCARD QUESTION
Front
How do you determine the radius of a circle given its center and a point on the circle?
Back
Use the distance formula to find the distance between the center and the point on the circle. This distance is the radius.
Tags
CCSS.HSG.GPE.A.1
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.
Tags
CCSS.HSG.GPE.A.1
6.
FLASHCARD QUESTION
Front
If a circle has a center at (2, -3) and a radius of 5, what is its equation?
Back
The equation is (x - 2)² + (y + 3)² = 25.
Tags
CCSS.HSG.GPE.A.1
7.
FLASHCARD QUESTION
Front
What does the term 'standard form' refer to in the context of a circle's equation?
Back
Standard form refers to the specific format (x - h)² + (y - k)² = r² that clearly indicates the center and radius of the circle.
Tags
CCSS.HSG.GPE.A.1
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