10 Questions
What is the standard form of a circle?
(x - h)^2 + (y - k)^2 = r^2
What does the equation (x - 3)^2 + (y + 4)^2 = 16 represent?
A circle
In the standard form of a circle, what does 'r' represent?
Radius
If a circle has its center at (1, -2) and radius 5, what is its standard form equation?
$(x + 1)^2 + (y - 2)^2 = 5^2$
What happens to the equation of a circle if its center is at (0,0)?
The 'h' and 'k' terms become zero
What is the general formula for the distance between two points (x1, y1) and (x2, y2)?
$ ext{sqrt}((x1 - x2)^2 + (y1 - y2)^2)$
What does the discriminant of the equation of a circle determine?
The shape of the circle
If the radius of a circle is doubled, what happens to its area?
It becomes four times
What is the relationship between the radius and diameter of a circle?
$d = 2r$
If two circles have the same radius, what can be said about their areas?
They are equal
Study Notes
TheEquation of a circle
The standard form of the circle
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This quiz covers the standard form of a circle, including its equation and properties. Test your knowledge about the characteristics and concepts related to the standard form of a circle.
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