# 1Multiple 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
circle equation
Hyesung Kang
Sequencing
High 9
Math
circle equation
1
47
1
High 9
Math
circle equation
1
47
1
10 questions
Disallow incorrect answer
Hide answer
public quiz
# 2Multiple 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
# 3Multiple Choice
Which of the following points lies on the circle with the equation x² + y² = 16?
(4, 0)
(0, 4)
(3, 2)
(2, 3)
# 4Multiple Choice
What is the radius of a circle with the equation (x - 1)² + (y + 2)² = 9?
1
2
3
9
# 5Multiple 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)
# 6Multiple 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
# 7Multiple Choice
What is the distance from the center to any point on the circle called?
Chord
Diameter
Circumference
Radius
# 8Multiple 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
# 9Multiple 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
# 10Multiple 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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