WorksheetsEquation of a circle
Total questions: 20
Worksheet time: 40mins
The equation of a circle is: (x-3)2+(y+2)2=4.
The second coordinate of its centre is (a)
There cannot be a (a) number under a square root.
The equation of the circle is: (x+3)2+(y-3)2-16=0.
Its radius is (a) units long.
The equation of a circle is: (x-3)2+(y+4)2=9.
What is its centre?
K(3;4)
K(3;-4)
K(-3;4)
(-3;-4)
The equation of a circle is: (x-1)2+y2-9=0.
Tick the correct statement!
This is NOT a circle.
The centre of this circle is K(1;0).
What is the centre of the circle which touches the x-axis in (-3;0) and the y-axis in (0;-3)?
K(3;3)
K(-6;3)
K(-3;-3)
K(0;1)
The diameter of a circle is AB. A(-2;-3) and B(4;1). The first coordinate of the circle is ...
(a)
The equation of a circle is: x2+y2-6x-6y-7=0.
Its radius is (a) units long.
The equation of a circle is: x2+y2-12x+6y-55=0.
Its radius is ... units long.
(a)
The diameter of a circle is AB. A(5;-4) and B(-3;2). The first coordinate of the centre of this circle is (a)
The equation of a circle is x2+(y+2)2=25.
Tick the correct statement.
The point P(3;2) is on the circumference of this circle.
The point P(3;2) is NOT on the circumference of this circle.
A(1;3) and B(4;0) are given. The AB vector is ... long. (Give two numbers after the decimal point in your result.)
(a)
A(-1;3) and B(0;5). The second coordinate of the AB vector is ...
(a)
A(2;0) and B(0;-1). The AB vector is ... units long. (Give two numbers after the decimal point in your rounded result!)
(a)
The equation of a circle is x2+y2=30. Choose the correct statement!
This is NOT a circle.
The centre of this circle is in the origin.
The radius of this circle is NOT a real number.
This circle does not intersect the x and the y axes.
A vector is given: a(3;4). Tick the vector which is NOT perpendicular to this vector!
(-4;3)
(4;-3)
(4;3)
The equation of a circle is (x-3)2+(y-2)2=16.
The first coordinate of the centre of this circle is ...
(a)
The equation of a circle is (x+4)2+(y+2)2=10.
The second coordinate of the centre is ...
(a)
The equation of a circle is x2+y2=25.
This circle intersects the x-axis is point ...
(5;0)
(3;2)
(10;0)
(-5;-5)
The circle is the set of all the points being a given distance away from a given (a) on the plane.
