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Question 1
Multiple Choice
What is the standard equation of a circle centered at the origin?
- x² + y² = r²
- (x - h)² + (y - k)² = r²
- x² + y² = h² + k²
- (x + h)² + (y + k)² = r²
The Witch's Magic
Sequencing
High School 9
Math
circle equation (6th)
Hyesung Kang
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Question 2
Multiple Choice
If a circle has a center at (3, 4) and radius 5, what is its equation?
- x² + y² = 25
- (x + 3)² + (y + 4)² = 25
- (x - 3)² + (y - 4)² = 5
- (x - 3)² + (y - 4)² = 25
Question 3
Multiple Choice
Which of the following points lies on the circle with the equation x² + y² = 16?
- (4, 0)
- (0, 4)
- (3, 2)
- (2, 3)
Question 4
Multiple Choice
What is the radius of a circle with the equation (x - 1)² + (y + 2)² = 9?
- 1
- 2
- 3
- 9
Question 5
Multiple Choice
Find the center of a circle with the equation (x + 2)² + (y - 5)² = 36.
- (-2, 5)
- (2, -5)
- (5, -2)
- (-5, 2)
Question 6
Multiple Choice
The diameter of a circle is 10. What is the equation of the circle if its center is at the origin?
- x² + y² = 100
- x² + y² = 25
- x² + y² = 50
- x² + y² = 10
Question 7
Multiple Choice
What is the distance from the center to any point on the circle called?
- Chord
- Diameter
- Circumference
- Radius
Question 8
Multiple Choice
How does the circle equation change if the circle is moved 3 units up?
- (x - h)² + (y - k + 3)² = r²
- (x - h)² + (y - k - 3)² = r²
- (x - h)² + (y - (k + 3))² = r²
- (x - h + 3)² + (y - k)² = r²
Question 9
Multiple Choice
Which of the following is NOT true for a circle?
- All radii are equal
- The diameter is twice the radius
- A tangent touches the circle at two points
- The center is equidistant from all points on the circle
Question 10
Multiple Choice
A circle's equation is (x - 4)² + (y + 3)² = 49. What is its diameter?
- 14
- 7
- 8
- 9
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