Problems Based on Cartesian Equation of a Circle
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the center-radius form of a circle's equation?
X^2 + Y^2 = 0
X^2 + Y^2 + 2GX + 2FY + C = 0
(X - H)^2 + (Y - K)^2 = R^2
X^2 + Y^2 = R^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a circle's center is at the origin, what is its equation?
X^2 + Y^2 = 0
X^2 + Y^2 = R^2
(X - H)^2 + (Y - K)^2 = R^2
X^2 + Y^2 + 2GX + 2FY + C = 0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the equation of a circle given its center and radius?
Use the center-radius form and substitute the values
Use the distance formula
Use the general equation of a circle
Use the midpoint formula
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in reducing a circle's equation to the standard form?
Solve for the radius
Rewrite terms with X and Y together
Divide the equation by a constant
Add and subtract constants
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When given points on a circle, how can you find the circle's equation?
Use the distance formula
Substitute points into the general equation
Find the midpoint of the points
Use the Pythagorean theorem
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general equation of a circle?
X^2 + Y^2 + 2GX + 2FY + C = 0
X^2 + Y^2 = 0
(X - H)^2 + (Y - K)^2 = R^2
X^2 + Y^2 = R^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the center of a circle that is concentric with another?
Find the midpoint of the diameter
Use the distance formula
Use the same center as the given circle
Calculate the average of the given points
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