Practice Standard Equation Of A Circle (6.2.1) - Conic Sections

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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the standard equation of a circle with center (0, 0) and radius 3?
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Remember that at the origin, the center is (0, 0).
Question 2.
What is the radius of a circle if the equation is (x+1)² + (y-4)² = 36?
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Take the square root of 36.
3Question 3.
What does the standard equation of a circle represent?
- Area of a circle
- Perimeter of a circle
- All points equidistant from center
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Think about what defines the shape of a circle.
4Question 4.
Is the radius of a circle always a positive value?
- True
- False
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Consider the geometric definition of distance.
Question 5.
A circle is tangent to the line x + y = 5 at the point (1, 4). If the center of the circle is located along the line y = -x + 3, determine the standard equation of the circle.
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Use the properties of tangents and distance.
Question 6.
Given the equation of the circle is 3x² + 3y² - 18x + 12y + 36 = 0, rewrite it in standard form and identify the center and radius.
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Make sure to complete the square for both x and y.

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